Automatic Continuity of Linear Operators

Automatic Continuity of Linear Operators
Author: Allan M. Sinclair
Publisher: Cambridge University Press
Total Pages: 101
Release: 1976-02-19
Genre: Mathematics
ISBN: 0521208300

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.

Progress in Functional Analysis

Progress in Functional Analysis
Author: K.D. Bierstedt
Publisher: Elsevier
Total Pages: 461
Release: 1992-01-10
Genre: Science
ISBN: 0080872816

This volume includes a collection of research articles inFunctional Analysis, celebrating the occasion of Manuel Valdivia'ssixtieth birthday. The papers included in the volume are basedon the main lectures presented during the internationalfunctional analysis meeting held in Peñíscola(Valencia, Spain) in October 1990.During his career, Valdiviahas made contributions to a wide variety of areas of FunctionalAnalysis and his work has had a profound impact. A thoroughappreciation of Valdivia's work is presented in J.Horváth's article. In honor of Valdivia's achievements, this volume presents more than twenty-five papers on topics related to his research(Banach spaces, operator ideals, tensor products, Fréchet,(DF) and (LF) spaces, distribution theory, infinite holomorphyetc.). While the majority of papers are research articles, survey articles are also included. The book covers a broad spectrum of interests in today's Functional Analysis and presents new results by leading specialists in the field.

An Introduction to Local Spectral Theory

An Introduction to Local Spectral Theory
Author: K. B. Laursen
Publisher: Oxford University Press
Total Pages: 610
Release: 2000
Genre: Mathematics
ISBN: 9780198523819

Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, extensive references, and open problems, suitable for continued research.

Proceedings of the Conference on Banach Algebras and Several Complex Variables

Proceedings of the Conference on Banach Algebras and Several Complex Variables
Author: Frederick P. Greenleaf
Publisher: American Mathematical Soc.
Total Pages: 312
Release: 1984
Genre: Mathematics
ISBN: 0821850342

Contains papers presented at the 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. This work includes articles that present advances in topics related to Banach algebras, function algebras and infinite dimensional holomorphy.

Functional Analysis: Surveys and Recent Results III

Functional Analysis: Surveys and Recent Results III
Author: K.-D. Bierstedt
Publisher: Elsevier
Total Pages: 397
Release: 2000-04-01
Genre: Mathematics
ISBN: 0080872018

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.

Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras

Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
Author: Theodore W. Palmer
Publisher: Cambridge University Press
Total Pages: 820
Release: 1994-03-25
Genre: Mathematics
ISBN: 9780521366373

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.

Banach Algebras 97

Banach Algebras 97
Author: Ernst Albrecht
Publisher: Walter de Gruyter
Total Pages: 576
Release: 2012-05-07
Genre: Mathematics
ISBN: 3110802007

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.