Generalized local operators between function modules

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Abstract:

Let X be a compact Hausdorff space, E be a normed space, A(X,E)  be a regular Banach function algebra on X , and A(X,E) be a subspace of C(X,E) . In this paper, first we introduce the notion of localness of an additive map S:A(X,E) → C(X,E) with respect to  additive maps T1,...,Tn: A(X) → C(X) and then we characterize the general form of such maps for a certain class of subspaces A(X,E) of C(X,E) having  A(X)-module structure.    

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volume 7  issue None

pages  0- 0

publication date 2021-05

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