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Theory of Operator Algebras II, Takesaki Masamichi



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Автор: Takesaki Masamichi
Название:  Theory of Operator Algebras II
ISBN: 9783540429142
Издательство: Springer
Классификация:
ISBN-10: 354042914X
Обложка/Формат: Hardback
Страницы: 540
Вес: 0.986 кг.
Дата издания: 01.11.2002
Серия: Encyclopaedia of mathematical sciences
Язык: English
Издание: 2003 ed.
Иллюстрации: Bibliography, index
Размер: 169 x 241 x 38
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 mathematics andmathematical physics
Ключевые слова: C*-algebra
Operator algebra
ergodic transformation groups
von Neumann algebra
Язык: eng
Оглавление: Preface.- Chapter VI. Left Hilbert Algebras.- Chapter VII. Weights.- Chapter VIII. Modular Automorphism Groups.- Chapter IX. Non-Commutative Integration.- Chapter X. Crossed Products and Duality.- Chapter XI. Abelian Automorphism Groups.- Chapter XII. Structure of a von Neumann Algebra of Type III.- Appendix.- Bibliography.- Index.





Theory of Operator Algebras III

Автор: Takesaki Masamichi
Название: Theory of Operator Algebras III
ISBN: 3540429131 ISBN-13(EAN): 9783540429135
Издательство: Springer
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Цена: 16169 р.
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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.

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.

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.

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).

Operator Algebras in Dynamical Systems

Автор: Shtichirt Sakai
Название: Operator Algebras in Dynamical Systems
ISBN: 0521060214 ISBN-13(EAN): 9780521060219
Издательство: Cambridge Academ
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Цена: 6572 р.
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Описание: This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made a considerable contribution. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of the C*-theory. The presentation, which is based on lectures given in Newcastle upon Tyne and Copenhagen, concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its most general form within the C* setting. For the first time, he globally constructs, within that setting, derivations for a fairly wide class of interacting models, and presents a new axiomatic treatment of the construction of time evolutions and KMS states.

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.

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.

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.

Theory of Operator Algebras I

Автор: Takesaki M.
Название: Theory of Operator Algebras I
ISBN: 354042248X ISBN-13(EAN): 9783540422488
Издательство: Springer
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Цена: 17324 р.
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Описание: Since its inception by von Neumann 70 years ago, the theory of operator algebras has become a rapidly developing area of importance for the understanding of many areas of mathematics and theoretical physics. Accessible to the non-specialist, this first part of a three volume treatise provides a clear, carefully written survey that emphasizes the theory's analytical and topological aspects.The book's unifying theme is the Banach space duality for operator algebras. This allows the reader to recognize the affinity between operator algebras and measure theory on locally compact spaces. Very technical sections are clearly labeled and there are extensive comments by the author, a good historical background and excercises.This book is part of the subseries of the EMS on Operator Algebras and Non-Commutative Geometry.

Completely Bounded Maps and Operator Algebras

Автор: Paulsen
Название: Completely Bounded Maps and Operator Algebras
ISBN: 0521816696 ISBN-13(EAN): 9780521816694
Издательство: Cambridge Academ
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Цена: 14106 р.
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Описание: An indispensable introduction to the theory of operator spaces for graduate students and experts alike.

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."

Operator Algebras

Автор: Ola Bratteli; Sergey Neshveyev; Christian Skau
Название: Operator Algebras
ISBN: 3642070612 ISBN-13(EAN): 9783642070617
Издательство: Springer
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Цена: 19056 р.
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Описание: The theme of the first Abel Symposium was operator algebras in a wide sense. This is the first volume in a prestigious new book series linked to the Abel prize. The contributions give a state-of-the-art account of some of the subject`s sub-disciplines.


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