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

Fingerprint

Weighted Function Spaces
Hausdorff space
Linear Dynamical Systems
Multiplication Operator
Seminorm
Locally Convex Space
Topological Vector Space
Vector-valued Functions
Supremum
Continuous Function
Dynamical system
Analogue
Topology
Norm
Operator

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Multiplication operators and dynamical systems. / Singh, R. K.; Manhas, Jasbir Singh.

In: Journal of the Australian Mathematical Society, Vol. 53, No. 1, 1992, p. 92-102.

Research output: Contribution to journalArticle

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