Topological Algebras
- 1st Edition, Volume 24 - October 10, 2011
- Imprint: North Holland
- Editors: Edward Beckenstein, Lawrence Narici, Charles Suffel
- Language: English
- Hardback ISBN:9 7 8 - 0 - 7 2 0 4 - 0 7 2 4 - 2
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 8 7 1 3 5 - 6
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… Read more
Purchase options
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.
- Edition: 1
- Volume: 24
- Published: October 10, 2011
- Imprint: North Holland
- Language: English
EB
Edward Beckenstein
Affiliations and expertise
St. John's University, Notre Dame College, Staten island, New YorkLN
Lawrence Narici
Affiliations and expertise
St. John's University, Jamaica, New YorkCS
Charles Suffel
Affiliations and expertise
Stevens Institute of Technology, Hoboken, New JerseyRead Topological Algebras on ScienceDirect