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- W2964250888 abstract "Let $X$ and $Y$ be compact Hausdorff spaces, $E$ and $F$ be real or complex normed spaces and $A(X,E)$ be a subspace of $C(X,E)$. For a function $fin C(X,E)$, let $coz(f)$ be the cozero set of $f$. A pair of additive maps $S,T: A(X,E) lo C(Y,F)$ is said to be jointly separating if $coz(Tf)cap coz(Sg)=emptyset$ whenever $coz(f)cap coz(g)= emptyset$. In this paper, first we give a partial description of additive jointly separating maps between certain spaces of vector-valued continuous functions (including spaces of vector-valued Lipschitz functions, absolutely continuous functions and continuously differentiable functions). Then we apply the results to characterize continuous ring homomorphisms between certain Banach algebras of vector-valued continuous functions. In particular, the results provide some generalizations of the recent results on unital homomorphisms between vector-valued Lipschitz algebras, with a different approach." @default.
- W2964250888 created "2019-07-30" @default.
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- W2964250888 date "2019-07-24" @default.
- W2964250888 modified "2023-09-28" @default.
- W2964250888 title "Additive jointly separating maps and ring homomorphisms" @default.
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