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Topological Vector Spaces, Algebras and Related Areas

Topological Vector Spaces, Algebras and Related Areas
Author: A Lau
Publisher: CRC Press
Total Pages: 284
Release: 1995-05-15
Genre: Mathematics
ISBN: 9780582257771

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This volume contains the proceedings of an international conference held to mark the retirement of Professor Taqdir Husain from McMaster University. The contributions, covering topics such as topological vector spaces, topological algebras and related areas, reflect Husain's research interests and present surveys and new research in the topics of the conference.


Topological Algebras

Topological Algebras
Author:
Publisher: Elsevier
Total Pages: 383
Release: 2011-10-10
Genre: Mathematics
ISBN: 0080871356

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This book discusses general topological algebras; space C(T,F) of continuous functions mapping T into F as an algebra only (with pointwise operations); and C(T,F) endowed with compact-open topology as a topological algebra C(T,F,c). It characterizes the maximal ideals and homomorphisms closed maximal ideals and continuous homomorphisms of topological algebras in general and C(T,F,c) in particular. A considerable inroad is made into the properties of C(T,F,c) as a topological vector space. Many of the results about C(T,F,c) serve to illustrate and motivate results about general topological algebras. Attention is restricted to the algebra C(T,R) of real-valued continuous functions and to the pursuit of the maximal ideals and real-valued homomorphisms of such algebras. The chapter presents the correlation of algebraic properties of C(T,F) with purely topological properties of T. The Stone–Cech compactification and the Wallman compactification play an important role in characterizing the maximal ideals of certain topological algebras.


Topological Vector Spaces and Algebras

Topological Vector Spaces and Algebras
Author: Lucien Waelbroeck
Publisher: Springer
Total Pages: 165
Release: 2006-11-15
Genre: Mathematics
ISBN: 3540369384

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The lectures associated with these notes were given at the Instituto de Matematica Pura e Aplicada (IMPA) in Rio de Janeiro, during the local winter 1970. To emphasize the properties of topological algebras, the author had started out his lecture with results about topological algebras, and introduced the linear results as he went along.


Topological Algebras

Topological Algebras
Author: A. Mallios
Publisher: Elsevier
Total Pages: 557
Release: 2011-08-18
Genre: Mathematics
ISBN: 0080872352

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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.


The Homology of Banach and Topological Algebras

The Homology of Banach and Topological Algebras
Author: A.Y. Helemskii
Publisher: Springer Science & Business Media
Total Pages: 360
Release: 1989-10-31
Genre: Mathematics
ISBN: 9780792302179

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'Et moi *.... si j'avait su comment en revenir. One service mathematics has rendered the human race. It has put common sense back je n'y serais point aUe.' it belongs. on the topmost shelf next Jules Verne where to the dusty canister labelled 'discarded non· The series is divergent: therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.