eBook - PDF

Topological Algebras

Name: Topological Algebras
ISBN: 9780080871356

Edward Beckenstein,

Lawrence Narici,

Charles Suffel,

369 pages
English
PDF
Available on iOS & Android

eBook - PDF

Topological Algebras

Edward Beckenstein,

Lawrence Narici,

Charles Suffel,

About this book

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–?ech compactification and the Wallman compactification play an important role in characterizing the maximal ideals of certain topological algebras.

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Yes, you can access Topological Algebras by Edward Beckenstein,Lawrence Narici,Charles Suffel in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebraic Geometry. We have over one million books available in our catalogue for you to explore.