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Author: Peter A. Fillmore
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 248
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Book Description
The subject of operator algebras has experienced tremendous growth in recent years with significant applications to areas within algebraic mathematics as well as allied areas such as single operator theory, non-self-adjoint operator algegras, K-theory, knot theory, ergodic theory, and mathematical physics. This book makes recent developments in operator algebras accessible to the non-specialist.
Author: Peter A. Fillmore
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 248
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Book Description
The subject of operator algebras has experienced tremendous growth in recent years with significant applications to areas within algebraic mathematics as well as allied areas such as single operator theory, non-self-adjoint operator algegras, K-theory, knot theory, ergodic theory, and mathematical physics. This book makes recent developments in operator algebras accessible to the non-specialist.
Author: William Arveson
Publisher: American Mathematical Soc.
ISBN: 9780821889008
Category : Mathematics
Languages : en
Pages : 108
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Book Description
This book contains expanded versions of ten lectures delivered at Texas Tech University in the summer of 1983. The operator algebras of the title are nonselfadjoint algebras of operators on Hilbert space.
Author: Bing-Ren Li
Publisher: World Scientific
ISBN: 9789810209414
Category : Mathematics
Languages : en
Pages : 758
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Book Description
This book is an introductory text on one of the most important fields of Mathematics, the theory of operator algebras. It offers a readable exposition of the basic concepts, techniques, structures and important results of operator algebras. Written in a self-contained manner, with an emphasis on understanding, it serves as an ideal text for graduate students.
Author: Bruce Blackadar
Publisher: Springer Science & Business Media
ISBN: 3540285172
Category : Mathematics
Languages : en
Pages : 530
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Book Description
This book offers a comprehensive introduction to 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, K-theory, and quasidiagonality. The presentation carefully and precisely explains 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.
Author: KADISON
Publisher: Springer Science & Business Media
ISBN: 1461229685
Category : Mathematics
Languages : en
Pages : 599
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Book Description
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 ofthe 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.
Author: A. Katavolos
Publisher: Springer Science & Business Media
ISBN: 9401155003
Category : Mathematics
Languages : en
Pages : 470
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Book Description
During the last few years, the theory of operator algebras, particularly non-self-adjoint operator algebras, has evolved dramatically, experiencing both international growth and interfacing with other important areas. The present volume presents a survey of some of the latest developments in the field in a form that is detailed enough to be accessible to advanced graduate students as well as researchers in the field. Among the topics treated are: operator spaces, Hilbert modules, limit algebras, reflexive algebras and subspaces, relations to basis theory, C* algebraic quantum groups, endomorphisms of operator algebras, conditional expectations and projection maps, and applications, particularly to wavelet theory. The volume also features an historical paper offering a new approach to the Pythagoreans' discovery of irrational numbers.
Author: Kehe Zhu
Publisher: CRC Press
ISBN: 1351467026
Category : Mathematics
Languages : en
Pages : 172
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Book Description
An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand's representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann's double commutant theorem, Kaplansky's density theorem, the (continuous, Borel, and L8) functional calculus for normal operators, and type decomposition for von Neumann algebras. Exercises are provided after each chapter.
Author: Harland G. Tompkins
Publisher: Courier Corporation
ISBN: 0486450287
Category : Technology & Engineering
Languages : en
Pages : 289
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Book Description
This text on optics for graduate students explains how to determine material properties and parameters for inaccessible substrates and unknown films as well as how to measure extremely thin films. Its 14 case studies illustrate concepts and reinforce applications of ellipsometry — particularly in relation to the semiconductor industry and to studies involving corrosion and oxide growth. A User's Guide to Ellipsometry will enable readers to move beyond limited turn-key applications of ellipsometers. In addition to its comprehensive discussions of the measurement of film thickness and optical constants in film, it also considers the trajectories of the ellipsometric parameters Del and Psi and how changes in materials affect parameters. This volume also addresses the use of polysilicon, a material commonly employed in the microelectronics industry, and the effects of substrate roughness. Three appendices provide helpful references.
Author: David E. Evans
Publisher: Cambridge University Press
ISBN: 052136843X
Category : Mathematics
Languages : en
Pages : 257
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Book Description
These volumes form an authoritative statement of the current state of research in Operator Algebras. They consist of papers arising from a year-long symposium held at the University of Warwick. Contributors include many very well-known figures in the field.
Author: Bruce Blackadar
Publisher:
ISBN: 9786610462124
Category : C*-algebras
Languages : en
Pages : 517
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Book Description
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.
