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 T
1,...,T
n: 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.
./files/site1/files/71/9.pdf
Type of Study:
S |
Subject:
alg Received: 2018/09/24 | Revised: 2021/05/24 | Accepted: 2019/09/30 | Published: 2021/05/31 | ePublished: 2021/05/31