Compact Multiplication Operators on Nonlocally Convex Weighted Spaces of Continuous Functions
نویسندگان
چکیده
Let V be a system of weights on a completely regular Hausdorff space and let B(E) be the topological vector space of all continuous linear operators on a Hausdorff topological vector space E. Let CV0(X,E) and CVb(X,E) be the nonlocally convex weighted spaces of continuous functions. In the present paper, we characterize compact multiplication operators Mψ on CV0 (X,E) ( or CVb(X,E)) induced by the operator-valued mappings ψ : X → B(E) (or the vector-valued mappings ψ : X → E, where E is a topological algebra).
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