Continuous multiplicative mappings on 𝐶(𝑋)

Lešnjak, Gorazd; Šemrl, Peter

doi:10.1090/S0002-9939-98-03967-7

Continuous multiplicative mappings on $C(X)$
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by Gorazd Lešnjak and Peter Šemrl PDF

Proc. Amer. Math. Soc. 126 (1998), 127-133 Request permission

Abstract:

Let $X$ and $Y$ be compact Hausdorff topological spaces, and let $C(X)$ and $C(Y)$ be real Banach algebras of all real-valued continuous functions on $X$ and $Y$, respectively. The general form of continuous multiplicative mappings $\Phi \colon C(X)\to C(Y)$ is given.

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