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Abstract. In this note we characterize the weighted composition operators on $CV_0(X,E)$ induced by the mappings $\phi\colon X\to X$ and $\pi\colon X\to B(E)$. A study of the invertible weighted composition operators on $CV_0(X,E)$, the weighted spaces of vector-valued continuous functions, is also given. Some examples are presented to illustrate the theory.
AMS Subject Classification
(1991): 47B38, 47A05, 47A56, 46E10
Keyword(s):
Weighted spaces,
Weighted composition operators,
Invertible operators
Received April 8, 1999. (Registered under 2740/2009.)
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