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Theory of Operator Algebras I, Takesaki M.



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Автор: Takesaki M.
Название:  Theory of Operator Algebras I
ISBN: 9783540422488
Издательство: Springer
Классификация:
ISBN-10: 354042248X
Обложка/Формат: Hardback
Страницы: 434
Вес: 0.828 кг.
Дата издания: 20.11.2001
Серия: Encyclopaedia of mathematical sciences
Язык: English
Издание: 1st ed. 1979. 2nd pr
Иллюстрации: Xix, 415 p.
Размер: 241 x 157 x 31
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
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Поставляется из: Германии
Дополнительное описание: Формат: 235x155
Круг читателей: Graduate students and researchers in functional analysis,algebra and mathematical physics
Ключевые слова: C*-algebras
operator algebras
von Neumann algebras
Язык: eng
Издание: 1st ed. 1979. 2nd printin
Оглавление: Fundaments of Banach Algebras and C*-Algebras.- Topologies and Density Theorems in Operator Algebras.- Conjugate Spaces.- Tensor Products of Operator Algebras and Direct Integrals.- Types of von Neumann Algebras and Traces.- Appendix: Polish Spaces and Standard Borel Spaces.





Operator Algebras and Their Modules

Автор: Blecher, David P.; Le Merdy, Christian
Название: Operator Algebras and Their Modules
ISBN: 0198526598 ISBN-13(EAN): 9780198526599
Издательство: Oxford Academ
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Цена: 27732 р.
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Описание: This invaluable reference tool is the first to present the general theory of algebras of operators on a Hilbert space, and the modules over such algebras. The new theory of operator spaces is presented early on and the text assembles the basic concepts, theory and methodologies needed to equip a beginning researcher in this area.

Theory of Operator Algebras II

Автор: Takesaki Masamichi
Название: Theory of Operator Algebras II
ISBN: 354042914X ISBN-13(EAN): 9783540429142
Издательство: Springer
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Цена: 16169 р.
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Описание: Together with "Theory of Operator Algebras I, III" (EMS 124 and 127), this book, written by one of the most prominent researchers in the field of operator algebras, presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. It is part of the recently developed part of the "Encyclopaedia of Mathematical Sciences" on operator algebras and non-commutative geometry (see http://www.springer.de/math/ems/index.html). The book provides essential and comprehensive information for graduate students and researchers in mathematics and mathematical physics.

Operator Algebras / Theory of C*-Algebras and von Neumann Algebras

Автор: Blackadar B.
Название: Operator Algebras / Theory of C*-Algebras and von Neumann Algebras
ISBN: 3540284869 ISBN-13(EAN): 9783540284864
Издательство: Springer
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Цена: 17324 р.
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Описание: This book is the most comprehensive treatment available of the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, classification of injective factors, K-theory, finiteness, stable rank, and quasidiagonality.The presentation concentrates on carefully and precisely explaining the main features of each part of the theory of operator algebras; most important arguments are at least outlined, and many are presented in full detail, so the volume is much more than a mere survey.

C*-Algebras and Operator Theory,

Автор: Gerald J. Murphy
Название: C*-Algebras and Operator Theory,
ISBN: 0125113609 ISBN-13(EAN): 9780125113601
Издательство: Elsevier Science
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Цена: 6347 р.
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Описание: This book constitutes a first- or second-year graduate course in operator theory. It is a field that affects other areas of mathematics and physics, such as algebraic topology, differential geometry and quantum mechanics.

Operator Algebras, Operator Theory and Applications

Автор: Bastos
Название: Operator Algebras, Operator Theory and Applications
ISBN: 3764386835 ISBN-13(EAN): 9783764386832
Издательство: Springer
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Цена: 20789 р.
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Описание: Contains three survey lecture courses and 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. This title reflects developments in the area of operator algebras.

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

Автор: Gaspar
Название: Recent Advances in Operator Theory, Operator Algebras, and their Applications
ISBN: 3764371277 ISBN-13(EAN): 9783764371272
Издательство: Springer
Цена: 14784 р.
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Описание: This book consists of a careful selection of peer-reviewed articles originating from the 19th International Conference on Operator Theory, held in Timisoara in Summer 2002. It contains recent developments covering 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.

Theory of Operator Algebras III

Автор: Takesaki Masamichi
Название: Theory of Operator Algebras III
ISBN: 3540429131 ISBN-13(EAN): 9783540429135
Издательство: Springer
Рейтинг:
Цена: 16169 р.
Наличие на складе: Поставка под заказ.

Описание: Together with "Theory of Operator Algebras I, II" (EMS 124 and 125), this book, written by one of the most prominent researchers in the field of operator algebras, presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. It is is part of the recently developed part of the "Encyclopaedia of Mathematical Sciences" on operator algebras and non-commutative geometry (see http://www.springer.de/math/ems/index.html). The book provides essential and comprehensive information for graduate students and researchers in mathematics and mathematical physics.

Partial *-Algebras and Their Operator Realizations

Автор: Antoine Jean-Pierre, Inoue I., Trapani C.
Название: Partial *-Algebras and Their Operator Realizations
ISBN: 1402010257 ISBN-13(EAN): 9781402010255
Издательство: Springer
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Цена: 15014 р.
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Описание: Algebras of bounded operators are familiar, either as C*-algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O*-algebras), mostly developed by the Leipzig school and in Japan (for a review, we refer to the monographs of K. SchmГјdgen [1990] and A. Inoue [1998]). This volume goes one step further, by considering systematically partial *-algebras of unbounded operators (partial O*-algebras) and the underlying algebraic structure, namely, partial *-algebras. It is the first textbook on this topic. The first part is devoted to partial O*-algebras, basic properties, examples, topologies on them. The climax is the generalization to this new framework of the celebrated modular theory of Tomita-Takesaki, one of the cornerstones for the applications to statistical physics. The second part focuses on abstract partial *-algebras and their representation theory, obtaining again generalizations of familiar theorems (Radon-Nikodym, Lebesgue).

Classification of Nuclear C*-Algebras. Entropy in Operator Algebras

Автор: Rordam M., Stormer E.
Название: Classification of Nuclear C*-Algebras. Entropy in Operator Algebras
ISBN: 3540423052 ISBN-13(EAN): 9783540423058
Издательство: Springer
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Цена: 16169 р.
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Описание: This EMS volume consists of two parts, written by leading scientists in the field of operator algebras and non-commutative geometry. The first part, written by M.Rordam, is on Elliott's classification program for nuclear C*-algebras. The emphasis is on the work of Kirchberg and the spectacular results by Kirchberg and Phillips giving a nearly complete classification, in terms of K-theoretic invariants, in the purely infinite case. This part of the program is described with almost full proofs beginning with Kirchberg's tensor product theorems and Kirchberg's embedding theorem for exact C*-algebras. The classification of finite simple C*-algebras starting with AF-algebras, and continuing with AT- and AH-algebras is covered, but mostly without proofs. The second part, written by E.Stormer, is a survey of the theory of of noncommutative entropy of automorphisms of C*-algebras and von Neumann algebras from its initiation by Connes and Stormer in 1975 till 2001.

Vertex Operator Algebras and the Monster,134

Автор: Igor Frenkel
Название: Vertex Operator Algebras and the Monster,134
ISBN: 0122670655 ISBN-13(EAN): 9780122670657
Издательство: Elsevier Science
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Цена: 6347 р.
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Описание: This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."

Real operator algebras

Название: Real operator algebras
ISBN: 9812383808 ISBN-13(EAN): 9789812383808
Издательство: World Scientific Publishing
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Цена: 15065 р.
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Описание: The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces. So it is a natural and interesting problem: How is the theory in the field of real numbers? Up to now, the theory of operator algebras over the field of real numbers has seemed not to be introduced systematically and sufficiently. The aim of this text is to set up the fundamentals of real operator algebras and to give a systematic discussion for real operator algebras.

Since the treatment is from the beginning (real Banach and Hilbert spaces, real Banach algebras, real Banach * algebras, real C*-algebras and W*-algebras), and some basic facts are given, one can get some results on real operator algebras easily. The text is also an introduction to real operator algebras, written in a self-contained manner. The reader needs just a general knowledge of Banach algebras and operator algebras.

Dynamical Entropy in Operator Algebras

Автор: Neshveyev Sergey, StГёrmer Erling
Название: Dynamical Entropy in Operator Algebras
ISBN: 3540346708 ISBN-13(EAN): 9783540346708
Издательство: Springer
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Цена: 19056 р.
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Описание: During the last 30 years there have been several attempts at extending the notion of entropy to noncommutative dynamical systems. The authors present in the book the two most successful approaches to the extensions of measure entropy and topological entropy to the noncommutative setting and analyze in detail the main models in the theory. The book addresses mathematicians and physicists, including graduate students, who are interested in quantum dynamical systems and applications of operator algebras and ergodic theory. Although the authors assume a basic knowledge of operator algebras, they give precise definitions of the notions and in most cases complete proofs of the results which are used.


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