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.
Author(s): Anastasios Mallios (Eds.)
Series: North-Holland Mathematics Studies 124
Publisher: Elsevier Science Ltd
Year: 1986
Language: English
Pages: iii-xi, 1-535
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
