The kernels and continuity ideals of homomorphisms from $\C_0(\Omega)$

Hung Le Pham

Abstract


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.

doi:10.1017/S1446788709000329

Keywords


Banach algebra, algebra of continuous functions, automatic continuity, prime ideal



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Journal of the Austral. Maths Soc, copyright Australian Mathematical Society.