WCOs on Non-Locally Convex Weighted Spaces of Continuous Functions

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Authors

  • Department of Mathematics, University of Jammu, Jammu-180004 ,IN
  • Department of Mathematics, Govt. College of Engg. and Technology, Canal Road, Jammu-180001 ,IN

Abstract

Let CVb(X,E) and CV0(X,E) respectively denote the (non-locally convex) weighted spaces of continuous functions f from a completely regular Hausdorff space X into a Hausdorff topological algebra (or TVS) E for which vf(X) is bounded in E and υf vanishes at infinity on X for all υ∈V, where V is a system of weights on X. In this paper, we present characterizations of weighted composition operators WΠ,T on the weighted spaces induced by scalar (or E)-valued functions on X and selfmaps T on X. Our results, in turn, generalize some recent results of Singh and Manhas (8,9,11], Singh and Singh [12] and Khan and Thaheem [2].

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Published

1999-12-01

How to Cite

Kour, K., & Singh, B. (1999). WCOs on Non-Locally Convex Weighted Spaces of Continuous Functions. The Journal of the Indian Mathematical Society, 66(1-4), 17–25. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/21915