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THE KERNELS AND CONTINUITY IDEALS OF HOMOMORPHISMS FROM 𝒞0(Ω)

Part of: Topological algebras, normed rings and algebras, Banach algebras

Published online by Cambridge University Press:  19 January 2010

HUNG LE PHAM
HUNG LE PHAM*
Affiliation:
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
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Abstract

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We give a description of the continuity ideals and the kernels of homomorphisms from the algebras of continuous functions on locally compact spaces into Banach algebras. We also construct families of prime ideals satisfying a certain intriguing property in the algebras of continuous functions.

Keywords

Banach algebraalgebra of continuous functionsautomatic continuityprime ideal

MSC classification

Secondary: 46H40: Automatic continuity
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 88 , Issue 1 , February 2010 , pp. 103 - 130
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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