Fundamentals Of The Theory Of Operator Algebras V2
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Fundamentals Of The Theory Of Operator Algebras V2
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Author :
language : en
Publisher: Academic Press
Release Date : 1986-06-10
Fundamentals Of The Theory Of Operator Algebras V2 written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-06-10 with Mathematics categories.
Fundamentals of the Theory of Operator Algebras. V2
Fundamentals Of The Theory Of Operator Algebras Volume I
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Author : Richard V. Kadison
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Fundamentals Of The Theory Of Operator Algebras Volume I written by Richard V. Kadison and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
The first volume of a two-volume text for an intermediate graduate course or for self-study for students familiar with basic measure theory and topology. Volume one covers linear spaces, Hilbert space and linear operators, Banach algebras, C*- algebra theory, and von Neumann algebra theory. The volumes are numbered consecutively but indexed separately. Volume one was originally published by Academic Press in 1983. Annotation copyrighted by Book News, Inc., Portland, OR
Fundamentals Of The Theory Of Operator Algebras Volume Ii
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Author : Richard V. Kadison
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Fundamentals Of The Theory Of Operator Algebras Volume Ii written by Richard V. Kadison and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This work and ""Fundamentals of the Theory of Operator Algebras, Volume I, Elementary Theory"" present an introduction to functional analysis and the initial fundamentals of $C^*$- and von Neumann algebra theory in a form suitable for both intermediate graduate courses and self-study. The authors provide a clear account of the introductory portions of this important and technically difficult subject. Major concepts are sometimes presented from several points of view; the account is leisurely when brevity would compromise clarity. An unusual feature in a text at this level is the extent to which it is self-contained; for example, it introduces all the elementary functional analysis needed. The emphasis is on teaching. Well supplied with exercises, the text assumes only basic measure theory and topology.The book presents the possibility for the design of numerous courses aimed at different audiences. '...these two volumes represent a magnificent achievement. They will be an essential item on every operator algebraist's bookshelves and will surely become the primary source of instruction for research students in von Neumann algebra theory' - ""Bulletin of the London Mathematical Society"". 'Volumes I and II were published in 1982 and 1983. Since then they have quickly established themselves as The Textbooks in operator algebra theory' - ""Bulletin of the American Mathematical Society"". 'One of the splendid features of the original two volumes is their large supply of exercises...which illustrate the results of the text and expand its scope' - ""L'Enseignement Mathematique"".
Fundamentals Of The Theory Of Operator Algebras V1
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Author :
language : en
Publisher: Academic Press
Release Date : 1983-06-29
Fundamentals Of The Theory Of Operator Algebras V1 written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-06-29 with Mathematics categories.
Fundamentals of the Theory of Operator Algebras. V1
Fundamentals Of The Theory Of Operator Algebras Volume Iii
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Author : Richard V. Kadison
language : en
Publisher: American Mathematical Soc.
Release Date : 1998-01-13
Fundamentals Of The Theory Of Operator Algebras Volume Iii written by Richard V. Kadison and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-13 with Mathematics categories.
This volume is the companion volume to Fundamentals of the Theory of Operator Algebras. Volume I--Elementary Theory (Graduate Studies in Mathematics series, Volume 15). The goal of the text proper is to teach the subject and lead readers to where the vast literature--in the subject specifically and in its many applications--becomes accessible. The choice of material was made from among the fundamentals of what may be called the "classical" theory of operator algebras. This volume contains the written solutions to the exercises in the Fundamentals of the Theory of Operator Algebras. Volume I--Elementary Theory.
Fundamentals Of The Theory Of Operator Algebras
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Author : KADISON
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Fundamentals Of The Theory Of Operator Algebras written by KADISON and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
These volumes are companions to the treatise; "Fundamentals of the Theory of Operator Algebras," which appeared as Volume 100 - I and II in the series, Pure and Applied Mathematics, published by Academic Press in 1983 and 1986, respectively. As stated in the preface to those volumes, "Their primary goal is to teach the sub ject and lead the reader to the point where the vast recent research literature, both in the subject proper and in its many applications, becomes accessible." No attempt was made to be encyclopCEdic; the choice of material was made from among the fundamentals of what may be called the "classical" theory of operator algebras. By way of supplementing the topics selected for presentation in "Fundamentals," a substantial list of exercises comprises the last section of each chapter. An equally important purpose of those exer cises is to develop "hand-on" skills in use of the techniques appearing in the text. As a consequence, each exercise was carefully designed to depend only on the material that precedes it, and separated into segments each of which is realistically capable of solution by an at tentive, diligent, well-motivated reader.
Theory Of Operator Algebras Ii
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Author : Masamichi Takesaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Theory Of Operator Algebras Ii written by Masamichi Takesaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators of a Hilbert space which is closed in the weak operator topology. According to von Neumann's bicommutant theorem, M is closed in the weak operator topology if and only if it is equal to the commutant of its commutant. A factor is a von Neumann algebra with trivial centre and the work of Murray and von Neumann contained a reduction of all von Neumann algebras to factors and a classification of factors into types I, IT and III. C* -algebras are self-adjoint operator algebras on Hilbert space which are closed in the norm topology. Their study was begun in the work of Gelfand and Naimark who showed that such algebras can be characterized abstractly as involutive Banach algebras, satisfying an algebraic relation connecting the norm and the involution. They also obtained the fundamental result that a commutative unital C* -algebra is isomorphic to the algebra of complex valued continuous functions on a compact space - its spectrum. Since then the subject of operator algebras has evolved into a huge mathematical endeavour interacting with almost every branch of mathematics and several areas of theoretical physics.
Lectures On Von Neumann Algebras
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Author : Șerban Strătilă
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09
Lectures On Von Neumann Algebras written by Șerban Strătilă and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-09 with Mathematics categories.
The text covers fundamentals of von Neumann algebras, including the Tomita's theory of von Neumann algebras and the latest developments.
Mappings Of Operator Algebras
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Author : H. Araki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mappings Of Operator Algebras written by H. Araki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume consists of articles contributed by participants at the fourth Ja pan-U.S. Joint Seminar on Operator Algebras. The seminar took place at the University of Pennsylvania from May 23 through May 27, 1988 under the auspices of the Mathematics Department. It was sponsored and supported by the Japan Society for the Promotion of Science and the National Science Foundation (USA). This sponsorship and support is acknowledged with gratitude. The seminar was devoted to discussions and lectures on results and prob lems concerning mappings of operator algebras (C*-and von Neumann alge bras). Among the articles contained in these proceedings, there are papers dealing with actions of groups on C* algebras, completely bounded mappings, index and subfactor theory, and derivations of operator algebras. The seminar was held in honor of the sixtieth birthday of Sh6ichir6 Sakai, one of the great leaders of Functional Analysis for many decades. This vol ume is dedicated to Professor Sakai, on the occasion of that birthday, with the respect and admiration of all the contributors and the participants at the seminar. H. Araki Kyoto, Japan R. Kadison Philadelphia, Pennsylvania, USA Contents Preface.... ..... ....... ........... ...... ......... ................ ...... ............... ... vii On Convex Combinations of Unitary Operators in C*-Algebras UFFE HAAGERUP ......................................................................... .
Function Spaces
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Author : Krzysztof Jarosz
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Function Spaces written by Krzysztof Jarosz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This book consists of contributions by the participants of the Fifth Conference on Function Spaces, held at Southern Illinois University in May of 2006. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $L{p $-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects. The goal of the conference was to bring together mathematicians interested in various problems related to function spaces and to facilitate the exchange of ideas between people working on similar problems. Hence, the majority of papers in this book are accessible to non-experts. Some articles contain expositions of known results and discuss open problems, others contain new results.