Multiplication Operators on Weighted Spaces of Vector-Valued Continuous Functions

R. K. Singh, JAsbir Singh Manhas

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

If V is a system of weights on a completely regular Hausdorff space X and E is a locally convex space, then CVQ(X, E) and CVb(X, E) are locally convex spaces of vector-valued continuous functions with topologies generated by seminorms which are weighted analogues of the supremum norm. In this paper we characterise multiplication operators on these spaces induced by scalar-valued and vector-valued mappings. Many examples are presented to illustrate the theory.

Original languageEnglish
Pages (from-to)98-107
Number of pages10
JournalJournal of the Australian Mathematical Society
Volume50
Issue number1
DOIs
Publication statusPublished - 1991

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Multiplication Operator
Locally Convex Space
Vector-valued Functions
Weighted Spaces
Continuous Function
Hausdorff space
Seminorm
Supremum
Scalar
Analogue
Topology
Norm

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Multiplication Operators on Weighted Spaces of Vector-Valued Continuous Functions. / Singh, R. K.; Manhas, JAsbir Singh.

In: Journal of the Australian Mathematical Society, Vol. 50, No. 1, 1991, p. 98-107.

Research output: Contribution to journalArticle

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