Multiplication operators and dynamical systems

R. K. Singh, Jasbir Singh Manhas

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Let J 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.

Original languageEnglish
Pages (from-to)92-102
Number of pages11
JournalJournal of the Australian Mathematical Society
Volume53
Issue number1
DOIs
Publication statusPublished - 1992

Keywords

  • dy
  • locally convex spaces
  • multiplication operators
  • namical systems
  • system of weights

ASJC Scopus subject areas

  • Mathematics(all)

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