ACTA issues

## Compact and weakly compact multiplication operators on weighted spaces of vector-valued continuous functions

J. S. Manhas

Acta Sci. Math. (Szeged) 70:1-2(2004), 361-372
5818/2009

 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.)