Multiplicative Functionals on Topological Algebras

Multiplicative Functionals on Topological Algebras PDF Author: Taqdir Husain
Publisher: Pitman Advanced Publishing Program
ISBN:
Category : Mathematics
Languages : en
Pages : 166

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Multiplicative Functionals on Topological Algebras

Multiplicative Functionals on Topological Algebras PDF Author: Taqdir Husain
Publisher: Pitman Advanced Publishing Program
ISBN:
Category : Mathematics
Languages : en
Pages : 166

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Multiplicative Functionals on Topological Algebras

Multiplicative Functionals on Topological Algebras PDF Author: T. Husain
Publisher: Halsted Press
ISBN: 9780470205037
Category :
Languages : en
Pages : 160

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Locally Multiplicatively-Convex Topological Algebras

Locally Multiplicatively-Convex Topological Algebras PDF Author: Ernest A. Michael
Publisher: American Mathematical Soc.
ISBN: 0821812114
Category : Banach algebras
Languages : en
Pages : 85

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Topological Vector Spaces, Algebras and Related Areas

Topological Vector Spaces, Algebras and Related Areas PDF Author: A Lau
Publisher: CRC Press
ISBN: 9780582257771
Category : Mathematics
Languages : en
Pages : 284

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Book Description
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 PDF Author:
Publisher: Elsevier
ISBN: 0080871356
Category : Mathematics
Languages : en
Pages : 383

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Book Description
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 PDF Author: Lucien Waelbroeck
Publisher: Springer
ISBN: 3540369384
Category : Mathematics
Languages : en
Pages : 165

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Book Description
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.

Selected Topics in Topological Algebras

Selected Topics in Topological Algebras PDF Author: Wiesław Żelazko
Publisher:
ISBN:
Category : Topological algebras
Languages : en
Pages : 336

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The Homology of Banach and Topological Algebras

The Homology of Banach and Topological Algebras PDF Author: A.Y. Helemskii
Publisher: Springer Science & Business Media
ISBN: 9780792302179
Category : Mathematics
Languages : en
Pages : 360

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Book Description
'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.

Topological Algebras

Topological Algebras PDF Author: A. Mallios
Publisher: Elsevier
ISBN: 0080872352
Category : Mathematics
Languages : en
Pages : 557

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Book Description
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.

Topological Algebras and their Applications

Topological Algebras and their Applications PDF Author: Alexander Katz
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110414422
Category : Mathematics
Languages : en
Pages : 366

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Book Description
Proceedings of the 8th International Conference of Topological Algebras and Their Applications (ICTAA-2014), held on May 26-30, 2014 in Playa de Villas de Mar Beach, dedicated to the memory of Anastasios Mallios (Athens, Greece). This series of conferences started in 1999 in Tartu, Estonia and were subsequently held in Rabat, Moroco (2000), Oulu, Finland (2001), Oaxaca, Mexico (2002), Bedlewo, Poland (2003), Athens, Greece (2005) and Tartu, Estonia (2008 and 2013). The topics of the conference include all areas of mathematics, connected with (preferably general) topological algebras and their applications, including all kinds of topological-algebraic structures as topological linear spaces, topological rings, topological modules, topological groups and semigroups; bornological-algebraic structures such as bornological linear spaces, bornological algebras, bornological groups, bornological rings and modules; algebraic and topological K-theory; topological module bundles, sheaves and others. Contents Some results on spectral properties of unital algebras and on the algebra of linear operators on a unital algebra Descriptions of all closed maximal one-sided ideals in topological algebras On non self-adjoint operators defined by Riesz bases in Hilbert and rigged Hilbert spaces Functional calculus on algebras of operators generated by a self-adjoint operator in Pontryagin space Π1 On Gelfand-Naimark type Theorems for unital abelian complex and real locally C*-, and locally JB-algebras Multipliers and strictly real topological algebras Multipliers in some perfect locally m-pseudo-convex algebras Wedderburn structure theorems for two-sided locally m-convex H*-algebras Homologically best modules in classical and quantized functional analysis Operator Grüss inequality Main embedding theorems for symmetric spaces of measurable functions Mapping class groups are linear Subnormable A-convex algebras Commutative BP*-algebras and Gelfand-Naimark’s theorem Discrete nonclosed subsets in maximally nondiscrete topological groups Faithfully representable topological *-algebras: some spectral properties On continuity of complementors in topological algebras Dominated ergodic theorem for isometries of non-commutative Lp-spaces, 1 p p ≠ 2 Ranks and the approximate n-th root property of C*-algebras Dense ideals in topological algebras: some results and open problems