banach algebras and automatic continuity

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Banach Algebras And Automatic Continuity

Author : Harold G. Dales
ISBN : 0198500130
Genre : Mathematics
File Size : 58. 44 MB
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Banach algebras combine algebraic and analytical aspects: it is the interplay of these structures that gives the subject its fascination. This volume expounds the general theory of Banach algebras, and shows how their topology is often determined by their algebraic structure: the central questions ask when homomorphisms and derivations from Banach algebras are automatically continuous, and seek canonical forms for these maps. The book synthesizes work over the last 20 years, and givesa definitive account; there are many new and unpublished results. The book describes many specific classes of Banach algebras, including function algebras, group algebras, algebras of operators, C*-algebras, and radical Banach algebras; it is a compendium of results on these examples. The subject interweaves algebra, functional analysis, and complex analysis, and has a dash of set theory and logic; the background in all these areas is fully explained. This volume is essential reading for anyone interested in any aspect of this vast subject.

Radical Banach Algebras And Automatic Continuity

Author : J.M. Bachar
ISBN : 354011985X
Genre : Mathematics
File Size : 84. 90 MB
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Conference On Automatic Continuity And Banach Algebras

Author : Australian National University. Centre for Mathematical Analysis
ISBN : UOM:39015018909021
Genre : Banach algebras
File Size : 72. 75 MB
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Automatic Continuity Of Linear Operators

Author : Allan M. Sinclair
ISBN : 9780521208307
Genre : Mathematics
File Size : 68. 5 MB
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Some of the results on automatic continuity of intertwining operators and homomorphisms that were obtained between 1960 and 1973 are here collected together to provide a detailed discussion of the subject. The book will be appreciated by graduate students of functional analysis who already have a good foundation in this and in the theory of Banach algebras.

Introduction To Banach Algebras Operators And Harmonic Analysis

Author : H. Garth Dales
ISBN : 0521535840
Genre : Mathematics
File Size : 24. 86 MB
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Introduction to important topics in functional analysis from leading researchers. Ideal for graduate students.

Banach Algebras And The General Theory Of Algebras Volume 1 Algebras And Banach Algebras

Author : Theodore W. Palmer
ISBN : 0521366372
Genre : Mathematics
File Size : 37. 59 MB
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This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.

Proceedings Of The Conference On Banach Algebras And Several Complex Variables

Author : Frederick P. Greenleaf
ISBN : 9780821850343
Genre : Mathematics
File Size : 51. 38 MB
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In this work, these proceedings result from a conference on Banach Algebras and Several Complex Variables held June 21-24, 1983, to honor Professor Charles E. Rickart upon his retirement from Yale University. Articles present recent advances in a wide spectrum of topics related to Banach algebras, function algebras and infinite dimensional holomorphy, areas where Professor Rickart has made important contributions. From a research point of view, the articles of J. Esterle and B. Kramm are of special interest. Although the topics in this volume are diverse, a general knowledge of fundamental notions appearing in Banach algebra theory will suffice for understanding most articles.

Automatic Continuity In Algebras Of Differentiable Functions

Author : Ngo Nhu Phu Viet
ISBN : UCAL:C3489953
Genre :
File Size : 48. 58 MB
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An Introduction To Local Spectral Theory

Author : K. B. Laursen
ISBN : 0198523815
Genre : Mathematics
File Size : 58. 26 MB
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'This beautifully written book represents a major contribution to the literature in the field of modern local spectral theory.' -Journal of Operator TheoryThis book is a modern treatment of a classical area of operator theory. Written in a meticulous and detailed style, with the modern graduate student of analysis in mind, it contains many simplifications of existing literature. It is full of new results, as well as many illuminating examples. Carefully cross referenced throughout, it also includes an extensive list of the relevant literature.

Characters Of Finite Coxeter Groups And Iwahori Hecke Algebras

Author : Meinolf Geck
ISBN : 0198502508
Genre : Mathematics
File Size : 61. 51 MB
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'An important book... The authors make full use of recent advances... The book is both a valuable resource for the expert and good starting point for the beginning researcher in this field... this is a very fine book which belongs on the shelves of anyone who is interested in the representation theory of Coxeter groups, Iwahori-Hecke algebras and, more generally, the groups of Lie type.' -Zentralblatt MATH'What makes the book especially valuable are the facts that the authors develop the various necessary theories nearly from the scratch... and that they include the algorithmic theory as well.' -Monatshefte för Mathematick'Written in an engaging and intelligible style... well structured and clearly printed.' -EMS'It will be a valuable reference for many years to come.' -Bulletin of the LMSFinite Coxeter groups and related structures arise naturally in several branches of mathematics, for example, Lie algebras or theory of knots and links. This is the first book which develops the character theory of finite Coxeter groups and Iwahori-Hecke algebras in a systematic way, ranging from classical results to recent developments.

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