Topological Algebras

Topological Algebras

1st Edition - January 1, 1977

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  • Editors: Edward Beckenstein, Lawrence Narici, Charles Suffel
  • eBook ISBN: 9780080871356

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

Product details

  • No. of pages: 369
  • Language: English
  • Copyright: © North Holland 1977
  • Published: January 1, 1977
  • Imprint: North Holland
  • eBook ISBN: 9780080871356

About the Series Editors

Edward Beckenstein

Affiliations and Expertise

St. John's University, Notre Dame College, Staten island, New York

Lawrence Narici

Affiliations and Expertise

St. John's University, Jamaica, New York

Charles Suffel

Affiliations and Expertise

Stevens Institute of Technology, Hoboken, New Jersey

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