J Austral Math Soc Ser A 53 pp92--102, 1992.

Multiplication Operators and Dynamical Systems

R. K. Singh and Jasbir Singh Manhas

(Received 27 June 1990)

Abstract

Let X be a completely regular Hausdorff space, let V be a system of weights on X and let T be a locally convex Hausdorff topological vector space. Then CVb(X, T) is a locally convex space of vector-valued continuous functions with a topology generated by seminorms which are weighted analogues of the supremum norm. In the present paper we characterize multiplication operators on the space CVb(X, T) induced by operator-valued mappings and then obtain a (linear) dynamical system on this weighted function space.

1991 AMS Subject Classification: 34C35, 46E40, 47B38

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Authors

R. K. Singh
Jasbir Singh Manhas
University of Jammu, Jammu-180004, India.

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