The Journal of the Indian Mathematical Society

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WCOs on Non-Locally Convex Weighted Spaces of Continuous Functions


Affiliations
1 Department of Mathematics, University of Jammu, Jammu-180004, India
2 Department of Mathematics, Govt. College of Engg. and Technology, Canal Road, Jammu-180001, India
     

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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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  • WCOs on Non-Locally Convex Weighted Spaces of Continuous Functions

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Authors

Kamaljeet Kour
Department of Mathematics, University of Jammu, Jammu-180004, India
Bhopinder Singh
Department of Mathematics, Govt. College of Engg. and Technology, Canal Road, Jammu-180001, India

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].