Milman, Vitali D. 1939
Overview
Works:  28 works in 358 publications in 3 languages and 6,490 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA3, 515.7 
Publication Timeline
.
Most widely held works by
Vitali D Milman
Geometrical aspects of functional analysis : Israel seminar, 198586 by
Vitali D Milman(
Book
)
234 editions published between 1987 and 2012 in 3 languages and held by 2,833 WorldCat member libraries worldwide
This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 20042005 follows the long tradition of the previous volumes that reflect the general trends of the Theory and are a source of inspiration for research. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies, to inequalities involving volumes of such bodies or, more generally, logconcave measures, to the study of sections or projections of convex bodies. In many of the papers Probability Theory plays an important role; in some limit laws for measures associated with convex bodies, resembling Central Limit Theorems, are derive and in others probabilistic tools are used extensively. There are also papers on related subjects, including a survey on the behavior of the largest eigenvalue of random matrices and some topics in Number Theory
234 editions published between 1987 and 2012 in 3 languages and held by 2,833 WorldCat member libraries worldwide
This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 20042005 follows the long tradition of the previous volumes that reflect the general trends of the Theory and are a source of inspiration for research. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies, to inequalities involving volumes of such bodies or, more generally, logconcave measures, to the study of sections or projections of convex bodies. In many of the papers Probability Theory plays an important role; in some limit laws for measures associated with convex bodies, resembling Central Limit Theorems, are derive and in others probabilistic tools are used extensively. There are also papers on related subjects, including a survey on the behavior of the largest eigenvalue of random matrices and some topics in Number Theory
Asymptotic theory of finite dimensional normed spaces by
Vitali D Milman(
Book
)
29 editions published between 1986 and 2001 in 3 languages and held by 406 WorldCat member libraries worldwide
Vol. 1200 of the LNM series deals with the geometrical structure of finite dimensional normed spaces. One of the main topics is the estimation of the dimensions of euclidean and l^n p spaces which nicely embed into diverse finitedimensional normed spaces. An essential method here is the concentration of measure phenomenon which is closely related to large deviation inequalities in Probability on the one hand, and to isoperimetric inequalities in Geometry on the other. The book contains also an appendix, written by M. Gromov, which is an introduction to isoperimetric inequalities on riemannian manifolds. Only basic knowledge of Functional Analysis and Probability is expected of the reader. The book can be used (and was used by the authors) as a text for a first or second graduate course. The methods used here have been useful also in areas other than Functional Analysis (notably, Combinatorics)
29 editions published between 1986 and 2001 in 3 languages and held by 406 WorldCat member libraries worldwide
Vol. 1200 of the LNM series deals with the geometrical structure of finite dimensional normed spaces. One of the main topics is the estimation of the dimensions of euclidean and l^n p spaces which nicely embed into diverse finitedimensional normed spaces. An essential method here is the concentration of measure phenomenon which is closely related to large deviation inequalities in Probability on the one hand, and to isoperimetric inequalities in Geometry on the other. The book contains also an appendix, written by M. Gromov, which is an introduction to isoperimetric inequalities on riemannian manifolds. Only basic knowledge of Functional Analysis and Probability is expected of the reader. The book can be used (and was used by the authors) as a text for a first or second graduate course. The methods used here have been useful also in areas other than Functional Analysis (notably, Combinatorics)
Functional analysis : an introduction by
Yuli Eidelman(
Book
)
12 editions published in 2004 in English and Dutch and held by 323 WorldCat member libraries worldwide
"The goal of this textbook is to provide an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of selfadjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded selfadjoint operators."Jacket
12 editions published in 2004 in English and Dutch and held by 323 WorldCat member libraries worldwide
"The goal of this textbook is to provide an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of selfadjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded selfadjoint operators."Jacket
Convex geometric analysis(
Book
)
11 editions published between 1999 and 2010 in English and held by 249 WorldCat member libraries worldwide
11 editions published between 1999 and 2010 in English and held by 249 WorldCat member libraries worldwide
Geometric aspects of functional analysis : Israel seminar (GAFA) 199294 by
Joram Lindenstrauss(
Book
)
11 editions published in 1995 in English and held by 174 WorldCat member libraries worldwide
This volume contains a collection of original research papers on recent developments in Banach space theory and related areas by many of the leading research workers in the field. A considerable number of papers are devoted to structure theory of infinitedimensional Banach spaces. This research ground has experienced a remarkable breakthrough in recent years, which has given new insight into infinitedimensional geometry (even of Hilbert spaces). Several new results and examples are included in this volume and new research directions are surveyed. Other contributions concern the well established local theory of Banach spaces and its fruitful connection with classical convexity in Rn. The volume also contains several papers on harmonic analysis, probabilistic methods in functional analysis and nonlinear geometry. Research workers and graduate students in Banach space theory, convexity, harmonic analysis and probability will value this book's utility and insight
11 editions published in 1995 in English and held by 174 WorldCat member libraries worldwide
This volume contains a collection of original research papers on recent developments in Banach space theory and related areas by many of the leading research workers in the field. A considerable number of papers are devoted to structure theory of infinitedimensional Banach spaces. This research ground has experienced a remarkable breakthrough in recent years, which has given new insight into infinitedimensional geometry (even of Hilbert spaces). Several new results and examples are included in this volume and new research directions are surveyed. Other contributions concern the well established local theory of Banach spaces and its fruitful connection with classical convexity in Rn. The volume also contains several papers on harmonic analysis, probabilistic methods in functional analysis and nonlinear geometry. Research workers and graduate students in Banach space theory, convexity, harmonic analysis and probability will value this book's utility and insight
Asymptotic geometric analysis by
Shiri ArtsteinAvidan(
Book
)
7 editions published in 2015 in English and Undetermined and held by 168 WorldCat member libraries worldwide
7 editions published in 2015 in English and Undetermined and held by 168 WorldCat member libraries worldwide
Asymptotic Geometric Analysis by
Shiri ArtsteinAvidan(
Book
)
7 editions published in 2015 in English and Undetermined and held by 25 WorldCat member libraries worldwide
The authors present the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. In this field, isometric problems that are typical for geometry in low dimensions are substituted by an "isomorphic" point of view, and an asymptotic approach (as dimension tends to infinity) is introduced. Geometry and analysis meet here in a nontrivial way. Basic examples of geometric inequalities in isomorphic form which are encountered in the book are the "isomorphic isoperimetric inequalities" which led to the discovery of the "concentration phenomen
7 editions published in 2015 in English and Undetermined and held by 25 WorldCat member libraries worldwide
The authors present the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. In this field, isometric problems that are typical for geometry in low dimensions are substituted by an "isomorphic" point of view, and an asymptotic approach (as dimension tends to infinity) is introduced. Geometry and analysis meet here in a nontrivial way. Basic examples of geometric inequalities in isomorphic form which are encountered in the book are the "isomorphic isoperimetric inequalities" which led to the discovery of the "concentration phenomen
Visions in mathematics by
Noga Alon(
)
14 editions published in 2010 in English and held by 22 WorldCat member libraries worldwide
Visions in Mathematics  Towards 2000' was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas. The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathemat
14 editions published in 2010 in English and held by 22 WorldCat member libraries worldwide
Visions in Mathematics  Towards 2000' was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas. The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathemat
Asymptotic geometric analysis : proceedings of the Fall 2010 Fields Institute Thematic Program by
Monika Ludwig(
Book
)
5 editions published in 2013 in English and held by 6 WorldCat member libraries worldwide
Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and mathematical sciences. The Fields Institute Thematic Program in the Fall of 2010 continued an established tradition of previous largescale programs devoted to the same general research direction. The main directions of the program included:* Asymptotic theory of convexity and normed spaces* Concentration of measure and isoperimetric inequalities, optimal transportation approach* Applications of the concept of concentration* Connections with transformation groups and Ramsey theory* Geometrization of probability* Random matrices* Connection with asymptotic combinatorics and complexity theoryThese directions are represented in this volume and reflect the present state of this important area of research. It will be of benefit to researchers working in a wide range of mathematical sciencesin particular functional analysis, combinatorics, convex geometry, dynamical systems, operator algebras, and computer science
5 editions published in 2013 in English and held by 6 WorldCat member libraries worldwide
Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and mathematical sciences. The Fields Institute Thematic Program in the Fall of 2010 continued an established tradition of previous largescale programs devoted to the same general research direction. The main directions of the program included:* Asymptotic theory of convexity and normed spaces* Concentration of measure and isoperimetric inequalities, optimal transportation approach* Applications of the concept of concentration* Connections with transformation groups and Ramsey theory* Geometrization of probability* Random matrices* Connection with asymptotic combinatorics and complexity theoryThese directions are represented in this volume and reflect the present state of this important area of research. It will be of benefit to researchers working in a wide range of mathematical sciencesin particular functional analysis, combinatorics, convex geometry, dynamical systems, operator algebras, and computer science
Complex geometric analysis(
Book
)
1 edition published in 1999 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 4 WorldCat member libraries worldwide
The Local theory of normed spaces and its applications to convexity by
Joram Lindenstrauss(
)
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
Dvoretzky's theorem  30 years later by
Vitali D Milman(
Book
)
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
Geometries in interaction : GAFA special issue in honor of Mikhail Gromov by
Y Eliashberg(
Book
)
4 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
Reprint from GAFA, Vol. 5 (1995), No. 2. Enlarged by a short biography of Mikhail Gromov and a list of publications. In the last decades of the XX century tremendous progress has been achieved in geometry. The discovery of deep interrelations between geometry and other fields including algebra, analysis and topology has pushed it into the mainstream of modern mathematics. This Special Issue of Geometric And Functional Analysis (GAFA) in honour of Mikhail Gromov contains 14 papers which give a wide panorama of recent fundamental developments in modern geometry and its related subjects. CONTRIBUTORS: J. Bourgain, J. Cheeger, J. Cogdell, A. Connes, Y. Eliashberg, H. Hofer, F. Lalonde, W. Luo, G. Margulis, D. McDuff, H. Moscovici, G. Mostow, S. Novikov, G. Perelman, I. PiatetskiShapiro, G. Pisier, X. Rong, Z. Rudnick, D. Salamon, P. Sarnak, R. Schoen, M. Shubin, K. Wysocki, and E. Zehnder. The book is a collection of important results and an enduring source of new ideas for researchers and students in a broad spectrum of directions related to all aspects of Geometry and its applications to Functional Analysis, PDE, Analytic Number Theory and Physics
4 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
Reprint from GAFA, Vol. 5 (1995), No. 2. Enlarged by a short biography of Mikhail Gromov and a list of publications. In the last decades of the XX century tremendous progress has been achieved in geometry. The discovery of deep interrelations between geometry and other fields including algebra, analysis and topology has pushed it into the mainstream of modern mathematics. This Special Issue of Geometric And Functional Analysis (GAFA) in honour of Mikhail Gromov contains 14 papers which give a wide panorama of recent fundamental developments in modern geometry and its related subjects. CONTRIBUTORS: J. Bourgain, J. Cheeger, J. Cogdell, A. Connes, Y. Eliashberg, H. Hofer, F. Lalonde, W. Luo, G. Margulis, D. McDuff, H. Moscovici, G. Mostow, S. Novikov, G. Perelman, I. PiatetskiShapiro, G. Pisier, X. Rong, Z. Rudnick, D. Salamon, P. Sarnak, R. Schoen, M. Shubin, K. Wysocki, and E. Zehnder. The book is a collection of important results and an enduring source of new ideas for researchers and students in a broad spectrum of directions related to all aspects of Geometry and its applications to Functional Analysis, PDE, Analytic Number Theory and Physics
Local theory of normed and quasinormed spaces by
Alexander Litvak(
)
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
Entire functions in modern analysis : Boris Levin memorial conference(
Book
)
2 editions published between 1999 and 2001 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1999 and 2001 in English and held by 2 WorldCat member libraries worldwide
Asymptotic geometric analysis by
Shiri ArtsteinAvidan(
Book
)
1 edition published in 2015 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2015 in English and held by 2 WorldCat member libraries worldwide
Visions in Mathematics Towards 2000 : GAFA 2000 Special Volume, Part Ipp. 1453(
)
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
Annotation
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
Annotation
Noncommutative motives by
Gonçalo Tabuada(
)
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
The theory of motives began in the early 1960s when Grothendieck envisioned the existence of a "universal cohomology theory of algebraic varieties". The theory of noncommutative motives is more recent. It began in the 1980s when the Moscow school (Beilinson, Bondal, Kapranov, Manin, and others) began the study of algebraic varieties via their derived categories of coherent sheaves, and continued in the 2000s when Kontsevich conjectured the existence of a "universal invariant of noncommutative algebraic varieties". This book, prefaced by Yuri I. Manin, gives a rigorous overview of some of the main advances in the theory of noncommutative motives. It is divided into three main parts. The first part, which is of independent interest, is devoted to the study of DG categories from a homotopical viewpoint. The second part, written with an emphasis on examples and applications, covers the theory of noncommutative pure motives, noncommutative standard conjectures, noncommutative motivic Galois groups, and also the relations between these notions and their commutative counterparts. The last part is devoted to the theory of noncommutative mixed motives. The rigorous formalization of this latter theory requires the language of Grothendieck derivators, which, for the reader's convenience, is revised in a brief appendix
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
The theory of motives began in the early 1960s when Grothendieck envisioned the existence of a "universal cohomology theory of algebraic varieties". The theory of noncommutative motives is more recent. It began in the 1980s when the Moscow school (Beilinson, Bondal, Kapranov, Manin, and others) began the study of algebraic varieties via their derived categories of coherent sheaves, and continued in the 2000s when Kontsevich conjectured the existence of a "universal invariant of noncommutative algebraic varieties". This book, prefaced by Yuri I. Manin, gives a rigorous overview of some of the main advances in the theory of noncommutative motives. It is divided into three main parts. The first part, which is of independent interest, is devoted to the study of DG categories from a homotopical viewpoint. The second part, written with an emphasis on examples and applications, covers the theory of noncommutative pure motives, noncommutative standard conjectures, noncommutative motivic Galois groups, and also the relations between these notions and their commutative counterparts. The last part is devoted to the theory of noncommutative mixed motives. The rigorous formalization of this latter theory requires the language of Grothendieck derivators, which, for the reader's convenience, is revised in a brief appendix
Visions in Mathematics Towards 2000 : GAFA 2000 Special Volume, Part IIpp. 455983 by
Noga Alon(
)
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
Annotation
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Schechtman, Gideon 1947 Other Editor
 Lindenstrauss, Joram 19362012 Other Author Editor
 Mendelson, Shahar Editor
 Klartag, Bo'az Author Editor
 Tsolomitis, Antonis
 Eidelman, Yuli 1955 Author
 Ball, Keith M. 1960 Other Editor
 Giannopoulos, Apostolos 1963
 ArtsteinAvidan, Shiri 1978 Author
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Associated Subjects
Algebraic varieties Analytic functions Banach spaces Convex domains Convex geometry Convex sets Discrete geometry Discrete groups Distribution (Probability theory) Functional analysis Functional differential equations Functional differential equationsAsymptotic theory Functions of complex variables Geometric analysis Geometry Geometry, Differential Global analysis (Mathematics) Harmonic analysis Hilbert algebras Interpolation spaces Lattice theory Limit theorems (Probability theory) Mathematical analysis Mathematics Motives (Mathematics) Noncommutative algebras Normed linear spaces Operator theory Probabilities Topological groups Topology
Alternative Names
Milman, V.
Milman,, V. D.
Milman, V.D. 1939
Milman, V. D. (Vitali D.), 1939
Milman, Vitali.
Milman, Vitali 1939
Milman, Vitali D.
Milman, Vitali Davidovich 1939
Milman, Witali Dawidowitsch 1939
Vitali Milman
Vitali Milman israelischer Mathematiker
Vitali Milman matemático ruso
Vitali Milman Russian mathematician
Мильман, Виталий Давидович
Мильман, Виталий Давидович 1939
ויטלי מילמן
ויטלי מילמן מתמטיקאי רוסי
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