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Local Multipliers of C*-Algebras, Ara Pere, Mathieu Martin



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Автор: Ara Pere, Mathieu Martin
Название:  Local Multipliers of C*-Algebras
ISBN: 9781852332372
Издательство: Springer
Классификация:
ISBN-10: 1852332379
Обложка/Формат: Hardback
Страницы: 320
Вес: 0.653 кг.
Дата издания: 2003
Серия: Springer Monographs in Mathematics
Язык: English
Иллюстрации: Illustrations
Размер: 23.39 x 15.60 x 2.06
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
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Поставляется из: Германии
Дополнительное описание: Круг читателей: Research mathematicians, graduate students
Язык: eng
Оглавление: IntroductionPrerequisites.-The Symmetric Algebra of Quotients and its Bounded Analogue.-The Centre of the Local Multiplier Algebra.-Automorphisms and Derivations.-Elementary Operators and Completely Bounded Mappings.-Lie Mappings and Related Operators.-References.-Index.





Standard Integral Table Algebras Generated by a Non-real Element of Small Degree

Автор: Arad Zvi, Muzychuk Mikhail
Название: Standard Integral Table Algebras Generated by a Non-real Element of Small Degree
ISBN: 3540428518 ISBN-13(EAN): 9783540428510
Издательство: Springer
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Цена: 4037 р.
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Описание: This book is addressed to the researchers working in the theory of table algebras and association schemes. This area of algebraic combinatorics has been rapidly developed during the last decade. The volume contains further developments in the theory of table algebras. It collects several papers which deal with a classification problem for standard integral table algebras (SITA). More precisely, we consider SITA with a faithful non-real element of small degree. It turns out that such SITA with some extra conditions may be classified. This leads to new infinite series of SITA which has interesting properties. The last section of the book uses a part of obtained results in the classification of association schemes. This volume summarizes the research which was done at Bar-Ilan University in the academic year 1998/99.

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.

Algebras of Linear Transformations

Автор: Farenick Douglas R.
Название: Algebras of Linear Transformations
ISBN: 0387950621 ISBN-13(EAN): 9780387950624
Издательство: Springer
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Цена: 8195 р.
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Описание: This book studies algebras and linear transformations acting on finite -dimensional vector spaces over arbitrary fields. It is written for students who have prior knowledge of algebra and linear algebra. The goal is to present a balance of theory and example in order for students to gain a firm understanding of the basic theory of finite- dimensional algebras and to provide a foundation for subsequent advanced study in a number of areas of mathematics. As such, the level of exposition is suitable for senior undergraduate students.

Fredholm and Local Spectral Theory, with Applications to Multipliers

Автор: Aiena Pietro
Название: Fredholm and Local Spectral Theory, with Applications to Multipliers
ISBN: 1402018304 ISBN-13(EAN): 9781402018305
Издательство: Springer
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Цена: 12704 р.
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Описание: This book shows the deep interaction between two important theories: Fredholm and local spectral theory. A particular emphasis is placed on the applications to multipliers and in particular to convolution operators. The book also presents some important progress, made in recent years, in the study of perturbation theory for classes of operators which occur in Fredholm theory.

Theory of sobolev multipliers

Автор: Maz`ya, Vladimir G. Shaposhnikova, T.o.
Название: Theory of sobolev multipliers
ISBN: 3540694900 ISBN-13(EAN): 9783540694908
Издательство: Springer
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Цена: 19056 р.
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Описание: Offers a comprehensive exposition of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. This book covers topics such as: trace inequalities, analytic characterization of multipliers, relations between spaces of Sobolev multipliers and other function spaces, and maximal subalgebras of multiplier spaces.

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.
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.

Theory of Operator Algebras II

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.

Geometric Computing with Clifford Algebras / Theoretical Foundations and Applications in Computer Vision and Robotics

Автор: Sommer Gerald
Название: Geometric Computing with Clifford Algebras / Theoretical Foundations and Applications in Computer Vision and Robotics
ISBN: 3540411984 ISBN-13(EAN): 9783540411987
Издательство: Springer
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Цена: 17901 р.
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Описание: Clifford algebra, then called geometric algebra, was introduced more than a cenetury ago by William K. Clifford, building on work by Grassmann and Hamilton. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work outlines that Clifford algebra provides a universal and powerfull algebraic framework for an elegant and coherent representation of various problems occuring in computer science, signal processing, neural computing, image processing, pattern recognition, computer vision, and robotics. This monograph-like anthology introduces the concepts and framework of Clifford algebra and provides computer scientists, engineers, physicists, and mathematicians with a rich source of examples of how to work with this formalism.

Complex Semisimple Lie Algebras

Автор: Serre Jean-Pierre, Jones G.A.
Название: Complex Semisimple Lie Algebras
ISBN: 3540678271 ISBN-13(EAN): 9783540678274
Издательство: Springer
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Цена: 5774 р.
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Описание: These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers including the basic classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and representation theory. The theory is illustrated by using the example of sln; in particular, the representation theory of sl2 is completely worked out. The last chapter discusses the connection between Lie algebras and Lie groups, and is intended to guide the reader towards further study.

Lie Algebras and Lie Groups / 1964 Lectures given at Harvard University

Автор: Serre Jean-Pierre
Название: Lie Algebras and Lie Groups / 1964 Lectures given at Harvard University
ISBN: 3540550089 ISBN-13(EAN): 9783540550082
Издательство: Springer
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Цена: 4037 р.
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Описание: This book reproduces J-P. Serre's 1964 Harvard lectures. The aim is to introduce the reader to the "Lie dictionary": Lie algebras and Lie groups. Special features of the presentation are its emphasis on formal groups (in the Lie group part) and the use of analytic manifolds on p-adic fields. Some knowledge of algebra and calculus is required of the reader, but the text is easily accessible to graduate students, and to mathematicians at large.

Operator Algebras and Quantum Statistical Mechanics 1 / C*- and W*-Algebras. Symmetry Groups. Decomposition of States

Автор: Bratteli Ola, Robinson Derek W.
Название: Operator Algebras and Quantum Statistical Mechanics 1 / C*- and W*-Algebras. Symmetry Groups. Decomposition of States
ISBN: 3540170936 ISBN-13(EAN): 9783540170938
Издательство: Springer
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Цена: 23099 р.
Наличие на складе: Поставка под заказ.

Описание: This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. The book is self-contained and most proofs are presented in detail, which makes it a useful text for students with a knowledge of basic functional analysis. The introductory chapter surveys the history and justification of algebraic techniques in statistical physics and outlines the applications that have been made.The second edition contains new and improved results. The principal changes include: A more comprehensive discussion of dissipative operators and analytic elements; the positive resolution of the question of whether maximal orthogonal probability measure on the state space of C-algebra were automatically maximal along all the probability measures on the space.

Quaternions, Clifford Algebras and Relativistic Physics

Автор: Girard
Название: Quaternions, Clifford Algebras and Relativistic Physics
ISBN: 3764377909 ISBN-13(EAN): 9783764377908
Издательство: Springer
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Цена: 5774 р.
Наличие на складе: Поставка под заказ.

Описание: The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have privileged a geometric approach, the author uses an algebraic approach which can be introduced as a tensor product of quaternion algebras and provides a unified calculus for much of physics. The book proposes a pedagogical introduction to this new calculus, based on quaternions, with applications mainly in special relativity, classical electromagnetism and general relativity. The volume is intended for students, researchers and instructors in physics, applied mathematics and engineering interested in this new quaternionic Clifford calculus.


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