OPERATORS ON BANACH ALGEBRA VALUED FUNCTION SPACES
Keyword(s):
Let $S$ be a locally compact Hausdorff space and let $A$ be a Banach algebra. Denote by $C_0(S, A)$ the Banach algebra of all $A$-valued continuous functions vanishing at infinity on $S$. Properties of bounded linear operators on $C_0(S,A)$, like multiplicativity, are characterized by Choy in terms of their representing measures. We study these theorems and give sharper results in certain cases.
1992 ◽
Vol 35
(2)
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pp. 271-283
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2019 ◽
Vol 2019
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pp. 1-7
1968 ◽
Vol 20
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pp. 450-455
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1983 ◽
Vol 6
(4)
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pp. 705-713
1969 ◽
Vol 21
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pp. 751-754
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2000 ◽
Vol 23
(12)
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pp. 827-831
1967 ◽
Vol 19
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pp. 688-696
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2016 ◽
Vol 160
(3)
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pp. 413-421
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