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Continuous multiplicative mappings on $C(X)$

Author(s): Gorazd Lesnjak; Peter Semrl
Journal: Proc. Amer. Math. Soc. 126 (1998), 127-133.
MSC (1991): Primary 46E25, 46J10
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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.

References:

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6.: A. Turowicz, Sur les fonctionelles continues et multiplicatives, Ann. Soc. Polon. Math. 20 (1947), 135-156.


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