Operator Algebras And Their Applications

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Introduction to Vertex Operator Algebras and Their Representations

James Lepowsky,Haisheng Li
Introduction to Vertex Operator Algebras and Their Representations Book PDF

Author : James Lepowsky,Haisheng Li
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780817681869

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Introduction to Vertex Operator Algebras and Their Representations by James Lepowsky,Haisheng Li Pdf

* Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples. * Begins with a detailed presentation of the theoretical foundations and proceeds to a range of applications. * Includes a number of new, original results and brings fresh perspective to important works of many other researchers in algebra, lie theory, representation theory, string theory, quantum field theory, and other areas of math and physics.

Operator Algebras and Their Applications II

Peter A. Fillmore,James A. Mingo
Operator Algebras and Their Applications II Book PDF

Author : Peter A. Fillmore,James A. Mingo
Publisher : American Mathematical Soc.
Page : 182 pages
File Size : 44,9 Mb
Release : 1997
Category : Mathematics
ISBN : 9780821809082

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Operator Algebras and Their Applications II by Peter A. Fillmore,James A. Mingo Pdf

The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality. This growth has resulted in significant applications in other areas - both within and outside mathematics. The field was a natural candidate for a 1994-1995 program year in Operator Algebras and Applications held at The Fields Institute for Research in the Mathematical Sciences. This volume contains a selection of papers that arose from the seminars and workshops of the program. Topics covered include the classification of amenable C*-algebras, the Baum-Connes conjecture, E[subscript 0] semigroups, subfactors, E-theory, quasicrystals, and the solution to a long-standing problem in operator theory: Can almost commuting self-adjoint matrices be approximated by commuting self-adjoint matrices?

Operator Theory, Operator Algebras, and Applications

Great Plains Operator Theory Symposium
Operator Theory Operator Algebras and Applications Book PDF

Author : Great Plains Operator Theory Symposium
Publisher : American Mathematical Soc.
Page : 440 pages
File Size : 51,7 Mb
Release : 2006
Category : Operator algebras
ISBN : 9780821839232

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Operator Theory, Operator Algebras, and Applications by Great Plains Operator Theory Symposium Pdf

This book offers a presentation of some new trends in operator theory and operator algebras, with a view to their applications. It consists of separate papers written by some of the leading practitioners in the field. The content is put together by the three editors in a way that should help students and working mathematicians in other parts of the mathematical sciences gain insight into an important part of modern mathematics and its applications. While different specialist authors are outlining new results in this book, the presentations have been made user friendly with the aid of tutorial material. In fact, each paper contains three things: a friendly introduction with motivation, tutorial material, and new research. The authors have strived to make their results relevant to the rest of mathematics. A list of topics discussed in the book includes wavelets, frames and their applications, quantum dynamics, multivariable operator theory, $C*$-algebras, and von Neumann algebras. Some longer papers present recent advances on particular, long-standing problems such as extensions and dilations, the Kadison-Singer conjecture, and diagonals of self-adjoint operators.

Operator Algebras and Their Applications II

Peter A. Fillmore and James A. Mingo
Operator Algebras and Their Applications II Book PDF

Author : Peter A. Fillmore and James A. Mingo
Publisher : American Mathematical Soc.
Page : 184 pages
File Size : 47,5 Mb
Release : 1998-07-28
Category : Operator algebras
ISBN : 0821871285

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Operator Algebras and Their Applications II by Peter A. Fillmore and James A. Mingo Pdf

The study of operator algebras, which grew out of von Neumann's work in the 1920s and 30s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality, with significant applications in other areas both within mathematics and in other fields. For this reason, and because of the existence of a strong Canadian school in the subject, the topic was a natural candidate for an emphasis year at The Fields Institute. This volume is the second selection of papers that arose from the seminars and workshops of a year-long program, Operator Algebras and Applications, that took place at The Fields Institute. Topics covered include the classification of amenable C*-algebras, lifting theorems for completely positive maps, and automorphisms of von Neumann algebras of type III.

Operator Algebras and Applications

A. Katavolos
Operator Algebras and Applications Book PDF

Author : A. Katavolos
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401155007

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Operator Algebras and Applications by A. Katavolos Pdf

During the last few years, the theory of operator algebras, particularly non-self-adjoint operator algebras, has evolved dramatically, experiencing both international growth and interfacing with other important areas. The present volume presents a survey of some of the latest developments in the field in a form that is detailed enough to be accessible to advanced graduate students as well as researchers in the field. Among the topics treated are: operator spaces, Hilbert modules, limit algebras, reflexive algebras and subspaces, relations to basis theory, C* algebraic quantum groups, endomorphisms of operator algebras, conditional expectations and projection maps, and applications, particularly to wavelet theory. The volume also features an historical paper offering a new approach to the Pythagoreans' discovery of irrational numbers.

Operator Algebras, Operator Theory and Applications

Maria Amélia Bastos,Israel Gohberg,Amarino Brites Lebre,Frank-Olme Speck
Operator Algebras Operator Theory and Applications Book PDF

Author : Maria Amélia Bastos,Israel Gohberg,Amarino Brites Lebre,Frank-Olme Speck
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 42,8 Mb
Release : 2008-05-27
Category : Mathematics
ISBN : 9783764386849

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Operator Algebras, Operator Theory and Applications by Maria Amélia Bastos,Israel Gohberg,Amarino Brites Lebre,Frank-Olme Speck Pdf

This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.

Lie Algebras, Vertex Operator Algebras and Their Applications

Yi-Zhi Huang,Kailash C. Misra
Lie Algebras Vertex Operator Algebras and Their Applications Book PDF

Author : Yi-Zhi Huang,Kailash C. Misra
Publisher : American Mathematical Soc.
Page : 500 pages
File Size : 51,8 Mb
Release : 2007
Category : Lie algebras
ISBN : 9780821839867

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Lie Algebras, Vertex Operator Algebras and Their Applications by Yi-Zhi Huang,Kailash C. Misra Pdf

The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.

Operator Algebras and Applications: Volume 1, Structure Theory; K-theory, Geometry and Topology

David E. Evans,Masamichi Takesaki
Operator Algebras and Applications Volume 1 Structure Theory K theory Geometry and Topology Book PDF

Author : David E. Evans,Masamichi Takesaki
Publisher : Cambridge University Press
Page : 257 pages
File Size : 45,5 Mb
Release : 1988
Category : Mathematics
ISBN : 9780521368438

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Operator Algebras and Applications: Volume 1, Structure Theory; K-theory, Geometry and Topology by David E. Evans,Masamichi Takesaki Pdf

These volumes form an authoritative statement of the current state of research in Operator Algebras. They consist of papers arising from a year-long symposium held at the University of Warwick. Contributors include many very well-known figures in the field.

Recent Advances in Operator Theory, Operator Algebras, and their Applications

Dumitru Gaspar,Israel Gohberg,Dan Timotin,Florian H. Vasilescu,Laszlo Zsido
Recent Advances in Operator Theory Operator Algebras and their Applications Book PDF

Author : Dumitru Gaspar,Israel Gohberg,Dan Timotin,Florian H. Vasilescu,Laszlo Zsido
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 52,9 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9783764373146

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Recent Advances in Operator Theory, Operator Algebras, and their Applications by Dumitru Gaspar,Israel Gohberg,Dan Timotin,Florian H. Vasilescu,Laszlo Zsido Pdf

This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.

Operator Algebras and Their Applications

Robert S. Doran,Efton Park
Operator Algebras and Their Applications Book PDF

Author : Robert S. Doran,Efton Park
Publisher : American Mathematical Soc.
Page : 267 pages
File Size : 53,6 Mb
Release : 2016-07-28
Category : Operator algebras
ISBN : 9781470419486

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Operator Algebras and Their Applications by Robert S. Doran,Efton Park Pdf

his volume contains the proceedings of the AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison, held from January 10–11, 2015, in San Antonio, Texas. Richard V. Kadison has been a towering figure in the study of operator algebras for more than 65 years. His research and leadership in the field have been fundamental in the development of the subject, and his influence continues to be felt though his work and the work of his many students, collaborators, and mentees. Among the topics addressed in this volume are the Kadison-Kaplanksy conjecture, classification of C∗-algebras, connections between operator spaces and parabolic induction, spectral flow, C∗-algebra actions, von Neumann algebras, and applications to mathematical physics.

State Spaces of Operator Algebras

Erik M. Alfsen,Frederik W. Shultz
State Spaces of Operator Algebras Book PDF

Author : Erik M. Alfsen,Frederik W. Shultz
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 52,9 Mb
Release : 2001-04-27
Category : Mathematics
ISBN : 0817638903

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State Spaces of Operator Algebras by Erik M. Alfsen,Frederik W. Shultz Pdf

The topic of this book is the theory of state spaces of operator algebras and their geometry. The states are of interest because they determine representations of the algebra, and its algebraic structure is in an intriguing and fascinating fashion encoded in the geometry of the state space. From the beginning the theory of operator algebras was motivated by applications to physics, but recently it has found unexpected new applica tions to various fields of pure mathematics, like foliations and knot theory, and (in the Jordan algebra case) also to Banach manifolds and infinite di mensional holomorphy. This makes it a relevant field of study for readers with diverse backgrounds and interests. Therefore this book is not intended solely for specialists in operator algebras, but also for graduate students and mathematicians in other fields who want to learn the subject. We assume that the reader starts out with only the basic knowledge taught in standard graduate courses in real and complex variables, measure theory and functional analysis. We have given complete proofs of basic results on operator algebras, so that no previous knowledge in this field is needed. For discussion of some topics, more advanced prerequisites are needed. Here we have included all necessary definitions and statements of results, but in some cases proofs are referred to standard texts. In those cases we have tried to give references to material that can be read and understood easily in the context of our book.

Operator Algebras and Quantum Statistical Mechanics 1

Ola Bratteli,Derek W. Robinson
Operator Algebras and Quantum Statistical Mechanics 1 Book PDF

Author : Ola Bratteli,Derek W. Robinson
Publisher : Springer Science & Business Media
Page : 528 pages
File Size : 52,8 Mb
Release : 1987
Category : Mathematics
ISBN : 3540170936

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Operator Algebras and Quantum Statistical Mechanics 1 by Ola Bratteli,Derek W. Robinson Pdf

This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. The book is self-contained and most proofs are presented in detail, which makes it a useful text for students with a knowledge of basic functional analysis. The introductory chapter surveys the history and justification of algebraic techniques in statistical physics and outlines the applications that have been made. The second edition contains new and improved results. The principal changes include: A more comprehensive discussion of dissipative operators and analytic elements; the positive resolution of the question of whether maximal orthogonal probability measure on the state space of C-algebra were automatically maximal along all the probability measures on the space.

Operator Algebras, Operator Theory and Applications

J. J. Grobler,L.E. Labuschagne,Manfred Möller
Operator Algebras Operator Theory and Applications Book PDF

Author : J. J. Grobler,L.E. Labuschagne,Manfred Möller
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 44,8 Mb
Release : 2009-12-24
Category : Mathematics
ISBN : 9783034601740

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Operator Algebras, Operator Theory and Applications by J. J. Grobler,L.E. Labuschagne,Manfred Möller Pdf

This volume contains the proceedings of the eighteenth International Workshop on Operator Theory and Applications (IWOTA), hosted by the Unit for Business Mathematics and Informatics of North-West University, Potchefstroom, South Africa from July 3 to 6, 2007. The conference (as well as these proceedings) was dedicated to Professors Joseph A. Ball and Marinus M. Kaashoek on the occasion of their 60th and 70th birthdays, respectively. This conference had a particular focus on Von Neumann algebras at the interface of operator theory with functional analysis and on applications of operator theory to differential equations.

Geometry of State Spaces of Operator Algebras

Erik M. Alfsen,Frederic W. Shultz
Geometry of State Spaces of Operator Algebras Book PDF

Author : Erik M. Alfsen,Frederic W. Shultz
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200192

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Geometry of State Spaces of Operator Algebras by Erik M. Alfsen,Frederic W. Shultz Pdf

In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as associative. That is, we give axiomatic characterizations of those convex sets that are state spaces of C*-algebras and von Neumann algebras, together with such characterizations for the normed Jordan algebras called JB-algebras and JBW-algebras. These non associative algebras generalize C*-algebras and von Neumann algebras re spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras. This book gives a complete and updated presentation of the character ization theorems of [10]' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C*-products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and results (listed as (AI), (A2), ... ), with reference back to [AS] for proofs, so that this book is self-contained.

Operator Algebras and Mathematical Physics

Tirthankar Bhattacharyya,Michael A. Dritschel
Operator Algebras and Mathematical Physics Book PDF

Author : Tirthankar Bhattacharyya,Michael A. Dritschel
Publisher : Birkhäuser
Page : 202 pages
File Size : 49,8 Mb
Release : 2015-09-29
Category : Mathematics
ISBN : 9783319181820

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Operator Algebras and Mathematical Physics by Tirthankar Bhattacharyya,Michael A. Dritschel Pdf

This volume gathers contributions from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Bangalore, India, in December 2013. All articles were written by experts and cover a broad range of original material at the cutting edge of operator theory and its applications. Topics include multivariable operator theory, operator theory on indefinite metric spaces (Krein and Pontryagin spaces) and its applications, spectral theory with applications to differential operators, the geometry of Banach spaces, scattering and time varying linear systems, and wavelets and coherent states.