Weighted composition operators on nonlocally convex weighted spaces of continuous functions

J. S. Manhas*, R. K. Singh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Let V be a system of weights on a completely regular Hausdorff space X and let B(E) be the topological vector space of all continuous linear operators on a general topological vector space E. Let CV0(X, E) and CVb(X, E) be the weighted spaces of vector-valued continuous functions (vanishing at infinity or bounded, respectively) which are not necessarily locally convex. In the present paper, we characterize in this general setting the weighted composition operators Wπ, Φ on CV0(X, E) (or CVb(X, E)) induced by the operator-valued mappings π : X → B(E) (or the vector-valued mappings π : X → E, where E is a topological algebra) and the self-map Φ of X. Also, we characterize the mappings π : X → B(E) (or π : x → E) and π : X → X which induce the compact weighted composition operators on these weighted spaces of continuous functions.

Original languageEnglish
Pages (from-to)275-292
Number of pages18
JournalAnalysis Mathematica
Volume24
Issue number4
Publication statusPublished - 1998

ASJC Scopus subject areas

  • Applied Mathematics
  • Analysis

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