Автор: Blecher, David P.; Le Merdy, Christian Название: Operator Algebras and Their Modules ISBN: 0198526598 ISBN-13(EAN): 9780198526599 Издательство: Oxford Academ Рейтинг: Цена: 27732 р. Наличие на складе: Поставка под заказ.
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.
Автор: Takesaki Masamichi Название: Theory of Operator Algebras II ISBN: 354042914X ISBN-13(EAN): 9783540429142 Издательство: Springer Рейтинг: Цена: 16169 р. Наличие на складе: Поставка под заказ.
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.
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.
Автор: Gerald J. Murphy Название: C*-Algebras and Operator Theory, ISBN: 0125113609 ISBN-13(EAN): 9780125113601 Издательство: Elsevier Science Рейтинг: Цена: 6347 р. Наличие на складе: Поставка под заказ.
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.
Автор: Bastos Название: Operator Algebras, Operator Theory and Applications ISBN: 3764386835 ISBN-13(EAN): 9783764386832 Издательство: Springer Рейтинг: Цена: 20789 р. Наличие на складе: Поставка под заказ.
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.
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.
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.
Автор: Antoine Jean-Pierre, Inoue I., Trapani C. Название: Partial *-Algebras and Their Operator Realizations ISBN: 1402010257 ISBN-13(EAN): 9781402010255 Издательство: Springer Рейтинг: Цена: 15014 р. Наличие на складе: Поставка под заказ.
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).
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.
Автор: Igor Frenkel Название: Vertex Operator Algebras and the Monster,134 ISBN: 0122670655 ISBN-13(EAN): 9780122670657 Издательство: Elsevier Science Рейтинг: Цена: 6347 р. Наличие на складе: Поставка под заказ.
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."
Название: Real operator algebras ISBN: 9812383808 ISBN-13(EAN): 9789812383808 Издательство: World Scientific Publishing Рейтинг: Цена: 15065 р. Наличие на складе: Поставка под заказ.
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.
Автор: Neshveyev Sergey, StГёrmer Erling Название: Dynamical Entropy in Operator Algebras ISBN: 3540346708 ISBN-13(EAN): 9783540346708 Издательство: Springer Рейтинг: Цена: 19056 р. Наличие на складе: Поставка под заказ.
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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