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Abstract. In this note we characterize compact and weakly compact multiplication operators $M_{\pi }$ on the weighted locally convex spaces $CV_{0}(X,E)$ of vector-valued continuous functions induced by the operator-valued mappings $\pi\colon X \rightarrow B(E)$.
AMS Subject Classification
(1991): 47B07, 47B33, 47B37, 47B38; 47A56, 46E10, 46E40
Keyword(s):
Compact operators,
Weakly compact operators,
Multiplication operators,
Weighted locally convex spaces,
Operator-valued mappings
Received August 30, 2002. (Registered under 5818/2009.)
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