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Multiplication Operators and Dynamical Systems

Part of: Linear function spaces and their duals Special classes of linear operators

Published online by Cambridge University Press:  09 April 2009

R. K. Singh  and
Jasbir Singh Manhas
R. K. Singh
Affiliation:
University of JammuJammu-180004, India
Jasbir Singh Manhas
Affiliation:
University of JammuJammu-180004, India
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Abstract

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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.

Keywords

system of weightslocally convex spacesmultiplication operatorsdynamical systems.

MSC classification

Secondary: 46E40: Spaces of vector- and operator-valued functions 47B38: Operators on function spaces (general)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 53 , Issue 1 , August 1992 , pp. 92 - 102
Copyright
Copyright © Australian Mathematical Society 1992

References

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