Abstract
Let $X$ be a compact Hausdorff space, let $E$ be a Banach space, and let $C(X,E)$ stand for the Banach space of $E$-valued continuous functions on $X$ under the uniform norm. In this paper we characterize integral operators (in the sense of Grothendieck) on $C(X,E)$ spaces in terms of their representing vector measures. This is then used to give some applications to nuclear operators on $C(X,E)$ spaces.
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