Gohberg, I. (Israel) 19282009
Overview
Works:  225 works in 939 publications in 4 languages and 19,094 library holdings 

Genres:  Archives Conference proceedings History 
Roles:  Author, Editor, Honoree 
Classifications:  QA329, 515.724 
Publication Timeline
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Most widely held works about
I Gohberg
 A panorama of modern operator theory and related topics the Israel Gohberg memorial volume by H Dym H Dym( )
 Israel Gohberg and friends on the occasion of his 80th birthday by H Bart H Bart( Book )
Most widely held works by
I Gohberg
Topics in operator theory. proceedings of the XIXth International Workshop on Operator Theory and its Applications, College of William and Mary, 2008 ; a tribute to Israel Gohberg on the occasion of his 80th birthday
by International Workshop on Operator Theory and Applications(
)
9 editions published in 2010 in English and held by 624 WorldCat member libraries worldwide
This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications
9 editions published in 2010 in English and held by 624 WorldCat member libraries worldwide
This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications
Basic operator theory
by
I Gohberg(
Book
)
11 editions published between 1980 and 2001 in English and held by 611 WorldCat member libraries worldwide
11 editions published between 1980 and 2001 in English and held by 611 WorldCat member libraries worldwide
Indefinite linear algebra and applications
by
I Gohberg(
)
21 editions published in 2005 in English and held by 569 WorldCat member libraries worldwide
"This book is dedicated to relatively recent results in linear algebra with indefinite inner product. It also includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications have been developed in the last fifty years, and all of them are based on linear algebra in spaces with indefinite inner product. The latter forms a new more or less independent branch of linear algebra and we gave it the name of indefinite linear algebra. This new subject in linear algebra is presented following the lines and principles of a standard linear algebra course."
21 editions published in 2005 in English and held by 569 WorldCat member libraries worldwide
"This book is dedicated to relatively recent results in linear algebra with indefinite inner product. It also includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications have been developed in the last fifty years, and all of them are based on linear algebra in spaces with indefinite inner product. The latter forms a new more or less independent branch of linear algebra and we gave it the name of indefinite linear algebra. This new subject in linear algebra is presented following the lines and principles of a standard linear algebra course."
Matrix polynomials
by
I Gohberg(
Book
)
23 editions published between 1982 and 2009 in 3 languages and held by 566 WorldCat member libraries worldwide
This book provides a comprehensive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomials is a natural extension of this case to polynomials of higher degree. It has applications in many areas, such as differential equations, systems theory, the WienerHopf technique, mechanics and vibrations, and numerical analysis. Although there have been significant advances in some quarters, this work remains the only systematic development of the theory of matrix polynomials. Audience: students, instructors, and researchers in linear algebra, operator theory, differential equations, systems theory, and numerical analysis. Its contents are accessible to readers who have had undergraduatelevel courses in linear algebra and complex analysis
23 editions published between 1982 and 2009 in 3 languages and held by 566 WorldCat member libraries worldwide
This book provides a comprehensive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomials is a natural extension of this case to polynomials of higher degree. It has applications in many areas, such as differential equations, systems theory, the WienerHopf technique, mechanics and vibrations, and numerical analysis. Although there have been significant advances in some quarters, this work remains the only systematic development of the theory of matrix polynomials. Audience: students, instructors, and researchers in linear algebra, operator theory, differential equations, systems theory, and numerical analysis. Its contents are accessible to readers who have had undergraduatelevel courses in linear algebra and complex analysis
Israel Gohberg and friends on the occasion of his 80th birthday
by
H Bart(
)
6 editions published in 2008 in English and held by 562 WorldCat member libraries worldwide
This book is dedicated to Israel Gohberg on occasion of his 80th birthday on August 23, 2008. It is an expression of esteem and friendship for a great mathematician, a remarkable person and an inspiring colleague. The book contains reflections by Gohberg himself on his own mathematical activities and those of others. It also includes contributions of colleagues and coworkers, both from his time in the Soviet Union and from when he lived and worked in the West. The contributions in question are not mathematical research papers but focus on the man Israel Gohberg and are intended for a wide audience. To be found are letters, speeches, laudatios and reminiscences which, together, present an attractive picture of the way in which Israel Gohberg in the past four to five decades influenced the lives of many mathematicians. Biographical material such as a curriculum vitae, a list of publications, a list of Ph.D. students and information about honorary doctoral degrees is also included
6 editions published in 2008 in English and held by 562 WorldCat member libraries worldwide
This book is dedicated to Israel Gohberg on occasion of his 80th birthday on August 23, 2008. It is an expression of esteem and friendship for a great mathematician, a remarkable person and an inspiring colleague. The book contains reflections by Gohberg himself on his own mathematical activities and those of others. It also includes contributions of colleagues and coworkers, both from his time in the Soviet Union and from when he lived and worked in the West. The contributions in question are not mathematical research papers but focus on the man Israel Gohberg and are intended for a wide audience. To be found are letters, speeches, laudatios and reminiscences which, together, present an attractive picture of the way in which Israel Gohberg in the past four to five decades influenced the lives of many mathematicians. Biographical material such as a curriculum vitae, a list of publications, a list of Ph.D. students and information about honorary doctoral degrees is also included
Invariant subspaces of matrices with applications
by
I Gohberg(
Book
)
21 editions published between 1986 and 2006 in English and Undetermined and held by 547 WorldCat member libraries worldwide
This unique book addresses advanced linear algebra from a perspective in which invariant subspaces are the central notion and main tool. It contains comprehensive coverage of geometrical, algebraic, topological, and analytic properties of invariant subspaces. The text lays clear mathematical foundations for linear systems theory and contains a thorough treatment of analytic perturbation theory for matrix functions. Audience: appropriate for students, instructors, and researchers in applied linear algebra, linear systems theory, and signal processing. Its contents are accessible to readers who have had undergraduatelevel courses in linear algebra and complex function theory
21 editions published between 1986 and 2006 in English and Undetermined and held by 547 WorldCat member libraries worldwide
This unique book addresses advanced linear algebra from a perspective in which invariant subspaces are the central notion and main tool. It contains comprehensive coverage of geometrical, algebraic, topological, and analytic properties of invariant subspaces. The text lays clear mathematical foundations for linear systems theory and contains a thorough treatment of analytic perturbation theory for matrix functions. Audience: appropriate for students, instructors, and researchers in applied linear algebra, linear systems theory, and signal processing. Its contents are accessible to readers who have had undergraduatelevel courses in linear algebra and complex function theory
Holomorphic operator functions of one variable and applications methods from complex analysis in several variables
by
I Gohberg(
)
16 editions published in 2009 in English and held by 470 WorldCat member libraries worldwide
Deals with holomorphic operator functions of a single variable and applications. This book offers a generalization of some results from the basics of analysis of scalar functions of one complex variable. It presents application for holomorphic families of subspaces and PlemeljMuschelishvili factorization
16 editions published in 2009 in English and held by 470 WorldCat member libraries worldwide
Deals with holomorphic operator functions of a single variable and applications. This book offers a generalization of some results from the basics of analysis of scalar functions of one complex variable. It presents application for holomorphic families of subspaces and PlemeljMuschelishvili factorization
Interpolation, Schur functions, and moment problems
by
Daniel Alpay(
)
14 editions published in 2006 in English and held by 464 WorldCat member libraries worldwide
Under "Schur analysis", one encounters problems related to Schur functions such as interpolation problems, moment problems, study of the relationships between the Schur coefficients and the properties of the function, and others. This volume presents the analysis of Schur and Caratheodory functions and the solutions of problems for these classes
14 editions published in 2006 in English and held by 464 WorldCat member libraries worldwide
Under "Schur analysis", one encounters problems related to Schur functions such as interpolation problems, moment problems, study of the relationships between the Schur coefficients and the properties of the function, and others. This volume presents the analysis of Schur and Caratheodory functions and the solutions of problems for these classes
Recent advances in operator theory and its applications the Israel Gohberg anniversary volume : International Workshop on Operator Theory and its Applications, IWOTA 2003, Cagliari, Italy
by
I Gohberg(
)
15 editions published in 2005 in English and held by 460 WorldCat member libraries worldwide
Contains a selection of research papers, which were presented at the 14th International Workshop on Operator Theory and its Applications (IWOTA) held at Cagliari, Italy (June 2427, 2003). These papers concern a variety of topics in modern operator theory and applications, with emphasis on differential operators and numerical methods
15 editions published in 2005 in English and held by 460 WorldCat member libraries worldwide
Contains a selection of research papers, which were presented at the 14th International Workshop on Operator Theory and its Applications (IWOTA) held at Cagliari, Italy (June 2427, 2003). These papers concern a variety of topics in modern operator theory and applications, with emphasis on differential operators and numerical methods
Introduction to the theory of linear nonselfadjoint operators
by
I Gohberg(
Book
)
19 editions published between 1969 and 2000 in English and Undetermined and held by 436 WorldCat member libraries worldwide
19 editions published between 1969 and 2000 in English and Undetermined and held by 436 WorldCat member libraries worldwide
The state space method generalizations and applications
by
Daniel Alpay(
)
15 editions published between 2005 and 2006 in English and German and held by 406 WorldCat member libraries worldwide
The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics. The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations. The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists
15 editions published between 2005 and 2006 in English and German and held by 406 WorldCat member libraries worldwide
The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics. The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations. The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists
Theory and applications of Volterra operators in Hilbert space
by
I Gohberg(
Book
)
10 editions published between 1970 and 2004 in English and held by 393 WorldCat member libraries worldwide
10 editions published between 1970 and 2004 in English and held by 393 WorldCat member libraries worldwide
Results and problems in combinatorial geometry
by
V. G Bolti︠a︡nskiĭ(
Book
)
9 editions published between 1965 and 1986 in English and Russian and held by 385 WorldCat member libraries worldwide
9 editions published between 1965 and 1986 in English and Russian and held by 385 WorldCat member libraries worldwide
Convolution equations and projection methods for their solution
by
I Gohberg(
Book
)
7 editions published between 1974 and 2005 in English and held by 319 WorldCat member libraries worldwide
7 editions published between 1974 and 2005 in English and held by 319 WorldCat member libraries worldwide
Minimal factorization of matrix and operator functions
by
H Bart(
Book
)
8 editions published in 1979 in English and held by 313 WorldCat member libraries worldwide
8 editions published in 1979 in English and held by 313 WorldCat member libraries worldwide
Topics in functional analysis : essays dedicated to M.G. Krein on the occasion of his 70th birthday
(
Book
)
7 editions published in 1978 in English and held by 296 WorldCat member libraries worldwide
7 editions published in 1978 in English and held by 296 WorldCat member libraries worldwide
Classes of linear operators
by
I Gohberg(
Book
)
17 editions published between 1990 and 1993 in English and Undetermined and held by 285 WorldCat member libraries worldwide
17 editions published between 1990 and 1993 in English and Undetermined and held by 285 WorldCat member libraries worldwide
Factorization of matrix functions and singular integral operators
by
Kevin Clancey(
Book
)
9 editions published in 1981 in English and held by 283 WorldCat member libraries worldwide
9 editions published in 1981 in English and held by 283 WorldCat member libraries worldwide
Traces and determinants of linear operators
by
I Gohberg(
Book
)
10 editions published in 2000 in English and held by 266 WorldCat member libraries worldwide
This book is dedicated to a theory of traces and determinants on embedded algebras of linear operators, where the trace and determinant are extended from finite rank operators by a limit process. All the important classical examples of traces and determinants suggested by Hill, von Koch, Fredholm, Poincaré, Ruston and Grothendieck are exhibited in particular, the determinants which were first introduced by Hill and Poincaré in their investigations of infinite systems of linear equations stemming from problems in celestial mechanics are studied most of Fredholm's seminal results are presented in this book. Formulas for traces and determinants in a Hilbert space setting are readily derived and generalizations to Banach spaces are investigated. A large part of this book is also devoted to generalizations of the regularized determinants introduced by Hilbert and Carleman. Regularized determinants of higher order are presented in embedded algebras. Much attention is paid to integral operators with semiseparable kernels, and explicit formulas of traces and determinants are given. One of the conclusions of this book (based on results of BenArtzi and Perelson) is that the trace and determinant, which are considered here, essentially depend not only on the operator but also on the algebra containing this operator. In fact, it turns out that by considering the same operator in different algebras, the trace and determinant of non nuclear operators can be almost any complex number. However, an operator is invertible if and only if each determinant is different from zero. Also each of the determinants can be used in the inversion formula. An attractive feature of this book is that it contains the charming classical theory of determinants together with its most recent concrete and abstract developments and applications. The general presentation of the book is based on the authors' work. This monograph should appeal to a wide group of mathematicians and engineers. The material is selfcontained and may be used for advanced courses and seminars
10 editions published in 2000 in English and held by 266 WorldCat member libraries worldwide
This book is dedicated to a theory of traces and determinants on embedded algebras of linear operators, where the trace and determinant are extended from finite rank operators by a limit process. All the important classical examples of traces and determinants suggested by Hill, von Koch, Fredholm, Poincaré, Ruston and Grothendieck are exhibited in particular, the determinants which were first introduced by Hill and Poincaré in their investigations of infinite systems of linear equations stemming from problems in celestial mechanics are studied most of Fredholm's seminal results are presented in this book. Formulas for traces and determinants in a Hilbert space setting are readily derived and generalizations to Banach spaces are investigated. A large part of this book is also devoted to generalizations of the regularized determinants introduced by Hilbert and Carleman. Regularized determinants of higher order are presented in embedded algebras. Much attention is paid to integral operators with semiseparable kernels, and explicit formulas of traces and determinants are given. One of the conclusions of this book (based on results of BenArtzi and Perelson) is that the trace and determinant, which are considered here, essentially depend not only on the operator but also on the algebra containing this operator. In fact, it turns out that by considering the same operator in different algebras, the trace and determinant of non nuclear operators can be almost any complex number. However, an operator is invertible if and only if each determinant is different from zero. Also each of the determinants can be used in the inversion formula. An attractive feature of this book is that it contains the charming classical theory of determinants together with its most recent concrete and abstract developments and applications. The general presentation of the book is based on the authors' work. This monograph should appeal to a wide group of mathematicians and engineers. The material is selfcontained and may be used for advanced courses and seminars
Matrices and indefinite scalar products
by
I Gohberg(
Book
)
9 editions published in 1983 in English and Undetermined and held by 264 WorldCat member libraries worldwide
9 editions published in 1983 in English and Undetermined and held by 264 WorldCat member libraries worldwide
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Related Identities
 Kaashoek, M. A. Editor
 Rodman, L. Editor
 Lancaster, Peter 1929 Honoree Editor
 Kreĭn, M. G. (Mark Grigorʹevich) 19071989 Author Dedicatee
 Bart, H. (Harm) 1942 Author Editor
 Goldberg, Seymour 1928
 Alpay, Daniel Author Editor
 Dym, H. (Harry) 1938 Honoree Author Editor
 Ball, Joseph A. 1947 Author Editor
 Bolti︠a︡nskiĭ, V. G. (Vladimir Grigorʹevich) 1925 Author
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Associated Subjects
Algebras, Linear Analytic spaces Combinatorial geometry Convex domains Convolutions (Mathematics) Determinants Differential equations Differential equations, Partial Engineering mathematics Factorization (Mathematics) Fourier analysis Free probability theory Friendship Functional analysis Functions, Special Functions of complex variables Functions of several complex variables Geometry, Solid Hankel operators Hilbert space Holomorphic functions Indefinite inner product spaces Integral equations Integral equationsNumerical solutions Integral operators Interpolation Invariant subspaces Inverse problems (Differential equations) Kreĭn, M. G.(Mark Grigorʹevich), Kyrgyzstan Linear operators Mathematical physics Mathematicians Mathematics Matrices Moment problems (Mathematics) Nonselfadjoint operators Numerical analysis Operator algebras Operator theory Operatorvalued functions Polynomials Schur functions Selfadjoint operators Statespace methods Toeplitz operators Volterra operators WienerHopf operators
Alternative Names
Gochberg, I. C. 19282009
Gochberg, I.Ts 1928
Gochberg, I. Z.
Gochberg, I.Z. 1928
Gochberg, I. Z. 19282009
Gochberg, Israilʹ Cudikovič 1928
Gochberg, Izraël
Gochberg, Izraelʹ Cudikovič 19282009
Gochberg, Izrailʹ C. 19282009
Gohberg, I.
Gohberg, I. 1928
Gohberg, I. 19282009
Gohberg, I. C.
Gohberg, I.C. 1928
Gohberg, I. C. 19282009
Gohberg, I.Ts 1928
Gohberg, I. Z.
Gohberg, Israel
Gohberg, Israel 1928
Gohberg, Israel 19282009
Gohberg, Israel C.
Gohberg, Israel Tschudikowitsch 1928
Gohberg, Israel Tschudikowitsch 19282009
Gohberg, Israel' Tsudikovich 1928
Gohberg, Izraelʹ Tsudikovich 1928
Gohberg, Izraelʹ Tsudikovich 19282009
Gohberg, Izrailʹ 19282009
Gohberg, Izrailʹ C. 1928
Gohberg, Izrailʹ C. 19282009
Gohberg Izrailʹ Cadikovič 19282009
Gohberg, Izrail' Cudikovič.
Gohberg, Izrail' Cudikovič 19282009
Gohberg, IzrailT︠sudikovic̆
Gohberg, Iztrail' Tsudikovich 19282009
Gokhberg, I.Ts 1928
Gokhberg, I. T︠S︡. 19282009
Gokhberg, I. T︠S︡. (Izrailʹ T︠S︡udikovich), 1928
Gokhberg, Izrailʹ T. 19282009
Gokhberg, Izrailʹ T︠S︡udikovich.
Gokhberg, Izrail' Tsudikovich 1923
Gokhberg, Izrailʹ T︠S︡udikovich 1928
Gokhberg, Izrailʹ T︠S︡udikovich 19282009
Gokhberg, Yiśraʾel 1928
Gokhberg, Yiśraʾel 19282009
Gwkberg Yiśraʾel 19282009
Гохберг, Израиль Цудикович.
Гохберг Израиль Цудикович 19282009
גוכברג ישראל 19282009
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