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Author : William Arveson
Publisher : American Mathematical Soc.
Page : 108 pages
File Size : 46,8 Mb
Release : 1984
Category : Mathematics
ISBN : 0821889001
This book contains expanded versions of ten lectures delivered at Texas Tech University in the summer of 1983. The operator algebras of the title are nonselfadjoint algebras of operators on Hilbert space.
Author : Karl Heinrich Hofmann
Publisher : Springer
Page : 816 pages
File Size : 53,8 Mb
Release : 1972
Category : Algebras, Linear
ISBN : UCSC:32106002287503
Author : Șerban Strătilă,Laszlo Zsido
Publisher : Cambridge University Press
Page : 441 pages
File Size : 47,5 Mb
Release : 2019-05-09
Category : Mathematics
ISBN : 9781108496841
The text covers fundamentals of von Neumann algebras, including the Tomita's theory of von Neumann algebras and the latest developments.
Author : Karl H. Hofmann
Publisher : Springer
Page : 793 pages
File Size : 55,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540371175
Author : Fumio Hiai
Publisher : Unknown
Page : 128 pages
File Size : 52,6 Mb
Release : 2021
Category : Von Neumann algebras
ISBN : 3985475040
Author : B. V. Rajarama Bhat,George A. Elliott,Peter A. Fillmore
Publisher : American Mathematical Soc.
Page : 337 pages
File Size : 43,8 Mb
Release : 1999
Category : C*-algebras
ISBN : 9780821808214
This book resulted from the lectures held at The Fields Institute (Waterloo, ON, Canada). Leading international experts presented current results on the theory of C*-algebras and von Neumann algebras, together with recent work on the classification of C*-algebras. Much of the material in the book is appearing here for the first time and is not available elsewhere in the literature.
Author : Hari Bercovici,Elias Katsoulis,David Kerr,Dan Timotin
Publisher : CRC Press
Page : 167 pages
File Size : 49,7 Mb
Release : 2017-08-07
Category : Mathematics
ISBN : 9781317974611
This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.
Author : Maria Amélia Bastos,Israel Gohberg,Amarino Brites Lebre,Frank-Olme Speck
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 52,5 Mb
Release : 2008-05-27
Category : Mathematics
ISBN : 9783764386849
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.
Author : Atsushi Inoue
Publisher : Springer Nature
Page : 197 pages
File Size : 40,9 Mb
Release : 2021-03-01
Category : Mathematics
ISBN : 9783030688936
This book is devoted to the study of Tomita's observable algebras, their structure and applications. It begins by building the foundations of the theory of T*-algebras and CT*-algebras, presenting the major results and investigating the relationship between the operator and vector representations of a CT*-algebra. It is then shown via the representation theory of locally convex*-algebras that this theory includes Tomita–Takesaki theory as a special case; every observable algebra can be regarded as an operator algebra on a Pontryagin space with codimension 1. All of the results are proved in detail and the basic theory of operator algebras on Hilbert space is summarized in an appendix. The theory of CT*-algebras has connections with many other branches of functional analysis and with quantum mechanics. The aim of this book is to make Tomita’s theory available to a wider audience, with the hope that it will be used by operator algebraists and researchers in these related fields.
Author : M. Takisaki
Publisher : Unknown
Page : 128 pages
File Size : 49,9 Mb
Release : 1969
Category : Electronic
ISBN : OCLC:66151464
Author : Albrecht Böttcher
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 45,7 Mb
Release : 1996
Category : Mathematics
ISBN : 9780821804575
Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavour. A good example is the large and amorphous body of knowledge known as the theory of linear operators or operator theory, which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear operators play a part. The theory is a vital part of functional analysis, whose methods and techniques are one of the major advances of twentieth century mathematics and now play a pervasive role in the modeling of phenomena in probability, imaging, signal processing, systems theory, etc, as well as in the more traditional areas of theoretical physics and mechanics. This book is based on lectures presented at a meeting on operator theory and its applications held at the Fields Institute in 1994.
Author : Serban Stratila
Publisher : Cambridge University Press
Page : 461 pages
File Size : 48,7 Mb
Release : 2020-12-03
Category : Mathematics
ISBN : 9781108489607
The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsid ) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products.
Author : David E. Evans,Masamichi Takesaki
Publisher : Cambridge University Press
Page : 253 pages
File Size : 51,6 Mb
Release : 1989
Category : Mathematical physics
ISBN : 9780521368445
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.
Author : Dan V. Voiculescu,Nicolai Stammeier,Moritz Weber
Publisher : European Mathematical Society
Page : 148 pages
File Size : 47,8 Mb
Release : 2016
Category : Free probability theory
ISBN : 3037191651
Free probability is a probability theory dealing with variables having the highest degree of noncommutativity, an aspect found in many areas (quantum mechanics, free group algebras, random matrices, etc.). Thirty years after its foundation, it is a well-established and very active field of mathematics. Originating from Voiculescu's attempt to solve the free group factor problem in operator algebras, free probability has important connections with random matrix theory, combinatorics, harmonic analysis, representation theory of large groups, and wireless communication. These lecture notes arose from a master class in Munster, Germany and present the state of free probability from an operator algebraic perspective. This volume includes introductory lectures on random matrices and combinatorics of free probability (Speicher), free monotone transport (Shlyakhtenko), free group factors (Dykema), free convolution (Bercovici), easy quantum groups (Weber), and a historical review with an outlook (Voiculescu). To make it more accessible, the exposition features a chapter on the basics of free probability and exercises for each part. This book is aimed at master students to early career researchers familiar with basic notions and concepts from operator algebras.
Author : Kehe Zhu
Publisher : CRC Press
Page : 149 pages
File Size : 44,9 Mb
Release : 2018-05-11
Category : Mathematics
ISBN : 9781351467025
An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand's representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann's double commutant theorem, Kaplansky's density theorem, the (continuous, Borel, and L8) functional calculus for normal operators, and type decomposition for von Neumann algebras. Exercises are provided after each chapter.
