Sunder, V. S.
Overview
Works:  19 works in 110 publications in 3 languages and 2,585 library holdings 

Genres:  Textbooks 
Roles:  Author, Other 
Classifications:  QA326, 512.55 
Publication Timeline
.
Most widely held works by
V. S Sunder
Bounded integral operators on Lspaces by
Paul R Halmos(
Book
)
25 editions published between 1978 and 1985 in 4 languages and held by 531 WorldCat member libraries worldwide
The subject. The phrase "integral operator" (like some other mathematically informal phrases, such as "effective procedure" and "geometric construction") is sometimes defined and sometimes not. When it is defined, the definition is likely to vary from author to author. While the definition almost always involves an integral, most of its other features can vary quite considerably. Superimposed limiting operations may enter (such as L2 limits in the theory of Fourier transforms and principal values in the theory of singular integrals), IJ' spaces and abstract Banach spaces may intervene, a scalar may be added (as in the theory of the socalled integral operators of the second kind), or, more generally, a multiplication operator may be added (as in the theory of the socalled integral operators of the third kind). The definition used in this book is the most special of all. According to it an integral operator is the natural "continuous" generali zation of the operators induced by matrices, and the only integrals that appear are the familiar LebesgueStieltjes integrals on classical nonpathological mea sure spaces. The category. Some of the flavor of the theory can be perceived in finite dimensional linear algebra. Matrices are sometimes considered to be an un natural and notationally inelegant way of looking at linear transformations. From the point of view of this book that judgement misses something
25 editions published between 1978 and 1985 in 4 languages and held by 531 WorldCat member libraries worldwide
The subject. The phrase "integral operator" (like some other mathematically informal phrases, such as "effective procedure" and "geometric construction") is sometimes defined and sometimes not. When it is defined, the definition is likely to vary from author to author. While the definition almost always involves an integral, most of its other features can vary quite considerably. Superimposed limiting operations may enter (such as L2 limits in the theory of Fourier transforms and principal values in the theory of singular integrals), IJ' spaces and abstract Banach spaces may intervene, a scalar may be added (as in the theory of the socalled integral operators of the second kind), or, more generally, a multiplication operator may be added (as in the theory of the socalled integral operators of the third kind). The definition used in this book is the most special of all. According to it an integral operator is the natural "continuous" generali zation of the operators induced by matrices, and the only integrals that appear are the familiar LebesgueStieltjes integrals on classical nonpathological mea sure spaces. The category. Some of the flavor of the theory can be perceived in finite dimensional linear algebra. Matrices are sometimes considered to be an un natural and notationally inelegant way of looking at linear transformations. From the point of view of this book that judgement misses something
An invitation to von Neumann algebras by
V. S Sunder(
Book
)
16 editions published between 1986 and 1988 in English and held by 338 WorldCat member libraries worldwide
Why This Book: The theory of von Neumann algebras has been growing in leaps and bounds in the last 20 years. It has always had strong connections with ergodic theory and mathematical physics. It is now beginning to make contact with other areas such as differential geometry and KTheory. There seems to be a strong case for putting together a book which (a) introduces a reader to some of the basic theory needed to appreciate the recent advances, without getting bogged down by too much technical detail; (b) makes minimal assumptions on the reader's background; and (c) is small enough in size to not test the stamina and patience of the reader. This book tries to meet these requirements. In any case, it is just what its title proclaims it to be  an invitation to the exciting world of von Neumann algebras. It is hoped that after perusing this book, the reader might be tempted to fill in the numerous (and technically, capacious) gaps in this exposition, and to delve further into the depths of the theory. For the expert, it suffices to mention here that after some preliminaries, the book commences with the Murray  von Neumann classification of factors, proceeds through the basic modular theory to the III). classification of Connes, and concludes with a discussion of crossedproducts, Krieger's ratio set, examples of factors, and Takesaki's duality theorem
16 editions published between 1986 and 1988 in English and held by 338 WorldCat member libraries worldwide
Why This Book: The theory of von Neumann algebras has been growing in leaps and bounds in the last 20 years. It has always had strong connections with ergodic theory and mathematical physics. It is now beginning to make contact with other areas such as differential geometry and KTheory. There seems to be a strong case for putting together a book which (a) introduces a reader to some of the basic theory needed to appreciate the recent advances, without getting bogged down by too much technical detail; (b) makes minimal assumptions on the reader's background; and (c) is small enough in size to not test the stamina and patience of the reader. This book tries to meet these requirements. In any case, it is just what its title proclaims it to be  an invitation to the exciting world of von Neumann algebras. It is hoped that after perusing this book, the reader might be tempted to fill in the numerous (and technically, capacious) gaps in this exposition, and to delve further into the depths of the theory. For the expert, it suffices to mention here that after some preliminaries, the book commences with the Murray  von Neumann classification of factors, proceeds through the basic modular theory to the III). classification of Connes, and concludes with a discussion of crossedproducts, Krieger's ratio set, examples of factors, and Takesaki's duality theorem
Introduction to subfactors by
Vaughan F. R Jones(
Book
)
17 editions published in 1997 in English and held by 329 WorldCat member libraries worldwide
4.2 The principal graphs4.3 Bases; 4.4 Relative commutants vs intertwiners; 5 Commuting squares; 5.1 The PimsnerPopa inequality; 5.2 Examples of commuting squares; 5.2.1 The braid group example; 5.2.2 Spin models; 5.2.3 Vertex models; 5.3 Basic construction in finite dimensions; 5.4 Path algebras; 5.5 The biunitarity condition; 5.6 Canonical commuting squares; 5.7 Ocneanu compactness; 6 Vertex and spin models; 6.1 Computing higher relative commutants; 6.2 Some examples; 6.3 On permutation vertex models; 6.4 A diagrammatic formulation; Appendix; A.I Concrete and abstract von Neumann algebras
17 editions published in 1997 in English and held by 329 WorldCat member libraries worldwide
4.2 The principal graphs4.3 Bases; 4.4 Relative commutants vs intertwiners; 5 Commuting squares; 5.1 The PimsnerPopa inequality; 5.2 Examples of commuting squares; 5.2.1 The braid group example; 5.2.2 Spin models; 5.2.3 Vertex models; 5.3 Basic construction in finite dimensions; 5.4 Path algebras; 5.5 The biunitarity condition; 5.6 Canonical commuting squares; 5.7 Ocneanu compactness; 6 Vertex and spin models; 6.1 Computing higher relative commutants; 6.2 Some examples; 6.3 On permutation vertex models; 6.4 A diagrammatic formulation; Appendix; A.I Concrete and abstract von Neumann algebras
Functional analysis : spectral theory by
V. S Sunder(
Book
)
19 editions published between 1997 and 1998 in English and Undetermined and held by 230 WorldCat member libraries worldwide
Lectures given by the author at the Institute of Mathematical Sciences, Madras, in 1996
19 editions published between 1997 and 1998 in English and Undetermined and held by 230 WorldCat member libraries worldwide
Lectures given by the author at the Institute of Mathematical Sciences, Madras, in 1996
Topological quantum field theories from subfactors by
Vijay Kodiyalam(
Book
)
11 editions published in 2001 in English and held by 182 WorldCat member libraries worldwide
11 editions published in 2001 in English and held by 182 WorldCat member libraries worldwide
Measure & probability by
Siva Athreya(
Book
)
4 editions published between 2008 and 2009 in English and held by 101 WorldCat member libraries worldwide
"This book has been designed primarily for students at the masters and doctoral levels. It covers the fundamentals of measure theory and probability theory. It begins with the construction of Lebesgue measure via Caratheodory's outer measure approach and goes on to discuss integration and standard convergence theorems (monotone and dominated, as well as Fatou's lemma). An entire chapter is devoted to complex measures, L P spaces, RadonNikodym theorem and the Riesz representation theorem. The elements of probability theory (random variables, distributions, independence, product measures spaces) as also the law of large numbers and central limit theorem are presented. Discrete time Markov chains, stationary distributions and limit theorems are then discussed." "Among the highlights are alternative proofs of Riesz representation theorem and the law of large numbers. Finally, the appendix treats many basic topics such as metric spaces, topological spaces and the StoneWeierstrass theorem."Jacket
4 editions published between 2008 and 2009 in English and held by 101 WorldCat member libraries worldwide
"This book has been designed primarily for students at the masters and doctoral levels. It covers the fundamentals of measure theory and probability theory. It begins with the construction of Lebesgue measure via Caratheodory's outer measure approach and goes on to discuss integration and standard convergence theorems (monotone and dominated, as well as Fatou's lemma). An entire chapter is devoted to complex measures, L P spaces, RadonNikodym theorem and the Riesz representation theorem. The elements of probability theory (random variables, distributions, independence, product measures spaces) as also the law of large numbers and central limit theorem are presented. Discrete time Markov chains, stationary distributions and limit theorems are then discussed." "Among the highlights are alternative proofs of Riesz representation theorem and the law of large numbers. Finally, the appendix treats many basic topics such as metric spaces, topological spaces and the StoneWeierstrass theorem."Jacket
Operators on Hilbert space by
V. S Sunder(
Book
)
2 editions published in 2015 in English and held by 29 WorldCat member libraries worldwide
2 editions published in 2015 in English and held by 29 WorldCat member libraries worldwide
Characterization theorems for integral operators by
V. S Sunder(
)
3 editions published in 1977 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1977 in English and held by 5 WorldCat member libraries worldwide
Unitary orbits of seladjoints in some C*algebras by
V. S Sunder(
Book
)
2 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
Topological quantum field theories from subfactors by
Vijay Kodiyalam(
)
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
Ogranichennye Integral'nye operatory v prostranstvakh L2 by
Paul R Halmos(
Book
)
1 edition published in 1985 in Russian and held by 2 WorldCat member libraries worldwide
1 edition published in 1985 in Russian and held by 2 WorldCat member libraries worldwide
An invitation to von Neuman algebra by
V. S Sunder(
Book
)
1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide
Unitary orbits of selfadjoints in some $ C^ * $ algebras by
V. S Sunder(
Book
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Ograničennye integral'nye operatory v prostransvach L2 by
Paul R Halmos(
Book
)
1 edition published in 1985 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1985 in Russian and held by 1 WorldCat member library worldwide
On boundedness and [formula] continuity of second quantisation by
Huzihiro Araki(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Abstract: "In this short note, we determine precisely which operators have the property that their (full, symmetric or antisymmetric) second quantisation is an operator which is bounded or belongs to one of the various Schatten ideals; we also note that in 'the interior' of the natural domain, the second quantisation is a continuous map."
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Abstract: "In this short note, we determine precisely which operators have the property that their (full, symmetric or antisymmetric) second quantisation is an operator which is bounded or belongs to one of the various Schatten ideals; we also note that in 'the interior' of the natural domain, the second quantisation is a continuous map."
On boundedness and $ \parallel . \parallel_ p $ by
Huzihiro Araki(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Bounded integral operators on L_1hn2 [L] spaces by
Paul R Halmos(
Book
)
1 edition published in 1978 in German and held by 1 WorldCat member library worldwide
1 edition published in 1978 in German and held by 1 WorldCat member library worldwide
Actions of finite hypergroups and examples by
V. S Sunder(
Book
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Topological Quantum Field Theories from Subfactors by
Vijay Kodiyalam(
)
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
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