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mmr 2021, 7(1): 91-100 |
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Sady F, Najafi Tavani M. Generalized Local Operators Between Function Modules. mmr 2021; 7 (1) :91-100
URL: http://mmr.khu.ac.ir/article-1-2843-en.html
URL: http://mmr.khu.ac.ir/article-1-2843-en.html
1- , sady@modares.ac.ir
Abstract: (1640 Views)
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. ./files/site1/files/71/9.pdf
Keywords: local operator, separating map, Lipschitz functions, absolutely continuous functions, vector-valued continuous functions
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
Received: 2018/09/24 | Revised: 2021/05/24 | Accepted: 2019/09/30 | Published: 2021/05/31 | ePublished: 2021/05/31
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