Topological Algebras Selected Topics

✍ Scribed by Anastasios Mallios (Eds.)

• Publisher: Elsevier Science Ltd
• Year: 1986
• Tongue: English
• Leaves: 557
• Series: North-Holland Mathematics Studies 124
• Category: Library

✦ Synopsis

This volume is addressed to those who wish to apply the methods and results of the theory of topological algebras to a variety of disciplines, even though confronted by particular or less general forms. It may also be of interest to those who wish, from an entirely theoretical point of view, to see how far one can go beyond the classical framework of Banach algebras while still retaining substantial results. The need for such an extension of the standard theory of normed algebras has been apparent since the early days of the theory of topological algebras, most notably the locally convex ones. It is worth noticing that the previous demand was due not only to theoretical reasons, but also to potential concrete applications of the new discipline.

✦ Table of Contents

Content:
Edited by
Page iii

Copyright page
Page iv

Memoriam
Page v

Preface
Pages ix-xi
Anastasios Mallios

Chapter I General Concepts
Pages 1-46

Chapter II Spectrum (Local Theory)
Pages 47-78

Chapter III Projective Limit Algebras
Pages 79-107

Chapter IV Inductive Limit Algebras
Pages 109-137

Chapter V Spectrum (Global Theory)
Pages 139-180

Chapter VI The Gel'fand Map
Pages 181-213

Chapter VII Spectra of Certain Particular Topological Algebras
Pages 215-252

Chapter VIII Some Special Classes of Topological Algebras
Pages 253-328

Chapter IX Structure Theory
Pages 329-355

Chapter X Topological Tensor Product Algebras
Pages 359-386

Chapter XI Spectra of Topological Tensor Product Algebras
Pages 387-406

Chapter XII Spectra of Topological Tensor Product Algebras
Pages 407-432

Chapter XIII Properties of Permanence of Topological Tensor Product Algebras
Pages 433-464

Chapter XIV Generalized Spectra in the Presence of Approximate Identities. Representation Theory
Pages 465-480

Chapter XV Topological Algebras with Involution. Representation Theory (contn'd.)
Pages 481-501

Bibliography
Pages 503-526

List of Symbols
Pages 527-529

Index
Pages 531-535