Milman, Vitali D. 1939
Overview
Works:  28 works in 331 publications in 3 languages and 6,230 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
Asymptotic theory of finite dimensional normed spaces by
Vitali D Milman(
Book
)
20 editions published between 1986 and 2001 in 3 languages and held by 381 WorldCat member libraries worldwide
This book deals with the geometrical structure of finite dimensional normed spaces, as the dimension grows to infinity. This is a part of what came to be known as the Local Theory of Banach Spaces (this name was derived from the fact that in its first stages, this theory dealt mainly with relating the structure of infinite dimensional Banach spaces to the structure of their lattice of finite dimensional subspaces). Our purpose in this book is to introduce the reader to some of the results, problems, and mainly methods developed in the Local Theory, in the last few years. This by no means is a complete survey of this wide area. Some of the main topics we do not discuss here are mentioned in the Notes and Remarks section. Several books appeared recently or are going to appear shortly, which cover much of the material not covered in this book. Among these are Pisier's [Pis6] where factorization theorems related to Grothendieck's theorem are extensively discussed, and TomczakJaegermann's [TJl] where operator ideals and distances between finite dimensional normed spaces are studied in detail. Another related book is Pietch's [Pie]
20 editions published between 1986 and 2001 in 3 languages and held by 381 WorldCat member libraries worldwide
This book deals with the geometrical structure of finite dimensional normed spaces, as the dimension grows to infinity. This is a part of what came to be known as the Local Theory of Banach Spaces (this name was derived from the fact that in its first stages, this theory dealt mainly with relating the structure of infinite dimensional Banach spaces to the structure of their lattice of finite dimensional subspaces). Our purpose in this book is to introduce the reader to some of the results, problems, and mainly methods developed in the Local Theory, in the last few years. This by no means is a complete survey of this wide area. Some of the main topics we do not discuss here are mentioned in the Notes and Remarks section. Several books appeared recently or are going to appear shortly, which cover much of the material not covered in this book. Among these are Pisier's [Pis6] where factorization theorems related to Grothendieck's theorem are extensively discussed, and TomczakJaegermann's [TJl] where operator ideals and distances between finite dimensional normed spaces are studied in detail. Another related book is Pietch's [Pie]
Functional analysis : an introduction by
Yuli Eidelman(
Book
)
11 editions published in 2004 in English and Dutch and held by 319 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
11 editions published in 2004 in English and Dutch and held by 319 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
)
12 editions published between 1999 and 2010 in English and held by 251 WorldCat member libraries worldwide
12 editions published between 1999 and 2010 in English and held by 251 WorldCat member libraries worldwide
Asymptotic geometric analysis by
Shiri ArtsteinAvidan(
Book
)
8 editions published in 2015 in English and Undetermined and held by 161 WorldCat member libraries worldwide
8 editions published in 2015 in English and Undetermined and held by 161 WorldCat member libraries worldwide
Asymptotic geometric analysis : proceedings of the Fall 2010 Fields Institute Thematic Program by
Shiri ArtsteinAvidan(
Book
)
6 editions published between 2013 and 2015 in English and Undetermined and held by 26 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
6 editions published between 2013 and 2015 in English and Undetermined and held by 26 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
Geometric aspects of functional analysis : Israel seminar, ... by Israel Seminar in Geometric Aspects of Functional Analysis(
)
in English and held by 3 WorldCat member libraries worldwide
in English and held by 3 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
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
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
Geometric aspects of functional analysis : 3rd Israel seminar : Papers by Geometric aspects of functional analysis(
)
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
Approximation of zonoids by zonotopes by
Jean Bourgain(
Book
)
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
Volume approach and iteration procedures in local theory of normed spaces by
Vitali D Milman(
Book
)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
Convex geometry(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Minkowski sums and symmetrizations by
Jean Bourgain(
Book
)
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
1 edition published in 1988 in English and held by 1 WorldCat member library 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
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
Annotation
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Schechtman, Gideon 1947 Other Editor
 Lindenstrauss, Joram 19362012 Other Author Editor
 Mendelson, Shahar Editor
 Klartag, Bo'az Author Editor
 Eidelman, Yuli 1955 Author
 Tsolomitis, Antonis
 Ball, Keith M. 1960 Other Editor
 ArtsteinAvidan, Shiri 1978 Author
 Giannopoulos, Apostolos 1963
 SpringerLink (Service en ligne)
Useful Links
Associated Subjects
Analytic functions Banach spaces Convex geometry Convex sets Discrete groups Distribution (Probability theory) Functional analysis Functions of complex variables Geometric analysis Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Harmonic analysis Hilbert algebras Interpolation spaces Lattice theory Limit theorems (Probability theory) Mathematical analysis Mathematics Normed linear spaces Operator theory 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 D. 1939
Milman, Vitali Davidovich 1939
Milman, Witali Dawidowitsch 1939
Vitali Milman Israeli mathematician
Vitali Milman israelischer Mathematiker
Мильман, Виталий Давидович
Мильман, Виталий Давидович 1939
ויטלי מילמן
Languages
Covers