Multiplication operators on weighted spaces of vector-valued continuous functions
1991 ◽
Vol 50
(1)
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pp. 98-107
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Keyword(s):
AbstractIf V is a system of weights on a completely regular Hausdorff space X and E is alocally convex space, then CV0(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.
1992 ◽
Vol 53
(1)
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pp. 92-102
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1979 ◽
Vol 31
(4)
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pp. 890-896
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1987 ◽
Vol 36
(2)
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pp. 267-278
1989 ◽
Vol 31
(1)
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pp. 59-64
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1987 ◽
Vol 29
(1)
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pp. 65-68
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2000 ◽
Vol 31
(1)
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pp. 1-8
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1985 ◽
Vol 97
(1)
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pp. 137-146
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Keyword(s):
2011 ◽
Vol 49
(1)
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pp. 89-98
Keyword(s):