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Topological algebras : selected topics

Publisher: Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co, 1986.
Series: North-Holland mathematics studies, 124; Notas de matemática, 109
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Topological algebras.
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
ISBN: 9780444879660 0444879668 9780080872353 0080872352 9781281788511 1281788511
OCLC Number: 731739924
In: Mallios, Anastasios
Description: 1 online resource (Online-Datei.).
Contents: Part I: General Theory. General Concepts. Spectrum (Local Theory). Projective Limit Algebras. Inductive Limit Algebras. Spectrum (Global Theory). The Gel'fand Map. Spectra of Certain Particular Topological Algebras. Some Special Classes of Topological Algebras. Structure Theory. Part II: Topological Tensor Products. Topological Tensor Products of Topological Algebras. Topological Tensor Product Algebras. Examples. Spectra of Topological Tensor Product Algebras. Properties of Permanence of Topological Tensor Product Algebras. Generalized Spectra in the Presence of Approximate Identities. Representation Theory. Topological Algebras with Involution. Representation Theory (continued). Bibliography. Index.
Series Title: North-Holland mathematics studies, 124; Notas de matemática, 109
Responsibility: Anastasios Mallios.

Abstract:

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.

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