Spectrum-preserving mapping on C(X) Banach algebras

摘要

In this paper, we showed that (C(X)) can be extended to (W)where W is a commutative unital Banach algebra including C(X),the space of all continuous functions on X. Also it is showed that : C(X) ! Y is a spectrum- preserving mapping if and only if ( (Y )) = (C(X)).