# introduction to operator space theory london mathematical society lecture note series

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## Introduction To Operator Space Theory

**Author :**Gilles Pisier

**ISBN :**0521811651

**Genre :**Mathematics

**File Size :**72. 37 MB

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An introduction to the theory of operator spaces, emphasising applications to C*-algebras.

## Spectral Asymptotics In The Semi Classical Limit

**Author :**M. Dimassi

**ISBN :**0521665442

**Genre :**Mathematics

**File Size :**38. 99 MB

**Format :**PDF, Kindle

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This book presents the basic methods and applications in semiclassical approximation in the light of developments.

## Double Affine Hecke Algebras

**Author :**Ivan Cherednik

**ISBN :**9780521609180

**Genre :**Mathematics

**File Size :**54. 77 MB

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This is an essentially self-contained monograph centered on the new double Hecke algebra technique.

## Lectures On The Combinatorics Of Free Probability

**Author :**Alexandru Nica

**ISBN :**9780521858526

**Genre :**MATHEMATICS

**File Size :**44. 61 MB

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This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.

## Introduction To The Representation Theory Of Compact And Locally Compact Groups

**Author :**Alain Robert

**ISBN :**9780521289757

**Genre :**Mathematics

**File Size :**89. 87 MB

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Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.

## An Introduction To Noncommutative Differential Geometry And Its Physical Applications

**Author :**J. Madore

**ISBN :**0521659914

**Genre :**Mathematics

**File Size :**80. 44 MB

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A thoroughly revised introduction to non-commutative geometry.

## Lectures On Invariant Theory

**Author :**Igor Dolgachev

**ISBN :**0521525489

**Genre :**Mathematics

**File Size :**59. 97 MB

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The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.

## Operator Algebras Quantization And Noncommutative Geometry

**Author :**Marshall Harvey Stone

**ISBN :**9780821834022

**Genre :**Mathematics

**File Size :**83. 48 MB

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John von Neumann and Marshall Stone were two giants of Twentieth Century mathematics. In honor of the 100th anniversary of their births, a mathematical celebration was organized featuring developments in fields where both men were major influences. This volume contains articles from the AMS Special Session, Operator Algebras, Quantization and Noncommutative Geometry: A Centennial Celebration in Honor of John von Neumann and Marshall H. Stone.Papers range from expository and historical surveys to original research articles. All articles were carefully refereed and cover a broad range of mathematical topics reflecting the fundamental ideas of von Neumann and Stone. Most contributions are expanded versions of the talks and were written exclusively for this volume. Included, among others, are articles by George W. Mackey, Nigel Higson, and Marc Rieffel. Also featured is a reprint of P.R. Halmos' ""The Legend of John von Neumann"". The book is suitable for graduate students and researchers interested in operator algebras and applications, including noncommutative geometry.

## Foundations Of Free Noncommutative Function Theory

**Author :**Dmitry S. Kaliuzhnyi-Verbovetskyi

**ISBN :**9781470416973

**Genre :**Mathematics

**File Size :**55. 10 MB

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In this book the authors develop a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square matrices of all sizes over a module (in particular, a vector space) to square matrices over another module, which respect the size, direct sums, and similarities of matrices. Examples include, but are not limited to, noncommutative polynomials, power series, and rational expressions. Motivation and inspiration for using the theory of free noncommutative functions often comes from free probability. An important application area is "dimensionless" matrix inequalities; these arise, e.g., in various optimization problems of system engineering. Among other related areas are those of polynomial identities in rings, formal languages and finite automata, quasideterminants, noncommutative symmetric functions, operator spaces and operator algebras, and quantum control.

## The Metric Theory Of Tensor Products

**Author :**Joseph Diestel

**ISBN :**0821872699

**Genre :**Mathematics

**File Size :**73. 28 MB

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Famed mathematician Alexander Grothendieck, in his Resume, set forth his plan for the study of the finer structure of Banach spaces. He used tensor products as a foundation upon which he built the classes of operators most important to the study of Banach spaces and established the importance of the "local" theory in the study of these operators and the spaces they act upon. When Lintenstrauss and Pelczynski addressed his work at the rebirth of Banach space theory, they shed his Fundamental Inequality in the trappings of operator ideals by shedding the tensorial formulation. The authors of this book, however, feel that there is much of value in Grothendieck's original formulations in the Resume and here endeavor to "expose the Resume" by presenting most of Grothendieck's arguments using the mathematical tools that were available to him at the time.