Topological algebras selected topics

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...

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Bibliographic Details
Main Author: Mallios, Anastasios
Format: eBook
Language:English
Published: Amsterdam North-Holland 1986, 1986
Series:North-Holland mathematics studies
Subjects:
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
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245 0 0 |a Topological algebras  |b selected topics  |c Anastasios Mallios 
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300 |a xvii, 535 pages 
505 0 |a Includes bibliographical references (pages 503-526) and index 
505 0 |a Front Cover; Topological Algebras Selected Topics; Copyright Page; Preface; Contents; PART I: GENERAL THEORY; Chapter I. General Concepts; Chapter Il. Spectrum (Local Theory); Chapter lll. Projective Limit Algebras; Chapter IV. Inductive Limit Algebras; Chapter V. Spectrum (Global Theory); Chapter VI. The Gel'fand Map; Chapter VII. Spectra of Certain Particular Topological Algebras; Chapter VIII. Some Special Classes of Topological Algebras; Chapter IX. Structure Theory; PART II: TOPOLOGICAL TENSOR PRODUCTS; Chapter X. Topological Tensor Products o f Topological Algebras 
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520 |a 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