banach algebras and automatic continuity

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Banach Algebras And Automatic Continuity

Author : Harold G. Dales
ISBN : 0198500130
Genre : Mathematics
File Size : 87. 81 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 The book synthesizes work over the last 20 years, and givesa definitive account; there are many new and unpublished results.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 : 49. 84 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 : 24. 54 MB
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Automatic Continuity Of Linear Operators

Author : Allan M. Sinclair
ISBN : 9780521208307
Genre : Mathematics
File Size : 25. 10 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 : 43. 47 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 : 73. 54 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.

Automatic Continuity In Algebras Of Differentiable Functions

Author : Ngo Nhu Phu Viet
ISBN : UCAL:C3489953
Genre :
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Functional Analysis Surveys And Recent Results Iii

Author : K.-D. Bierstedt
ISBN : 0080872018
Genre : Mathematics
File Size : 26. 31 MB
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This volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas. Some of the papers have connections with complex function theory in one and several variables, probability theory and mathematical physics. Surveys of some areas of recent progress in functional analysis are given and related new results are presented. The topics covered in this volume supplement the discussion of modern functional analysis in the previous Proceedings volumes. Together with the previous volumes, the reader obtains a good impression of many aspects of present-day functional analysis and its applications. Parts of this volume can be used profitably in advanced seminars and courses in functional analysis.

Proceedings Of The Conference On Banach Algebras And Several Complex Variables

Author : Frederick P. Greenleaf
ISBN : 9780821850343
Genre : Mathematics
File Size : 56. 7 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 Of Generalized Intertwining Operators

Author : K. B. Laursen
ISBN : STANFORD:36105031977874
Genre : Banach algebras
File Size : 61. 13 MB
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