Integral Operators on Spaces of Continuous Vector-valued Functions

Paulette Saab

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Integral Operators on Spaces of Continuous Vector-valued Functions

Paulette Saab

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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 term 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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BibTeX RIS

Paulette Saab. 1990-03-15. Integral Operators on Spaces of Continuous Vector-valued Functions. https://arxiv.org/abs/math/9201210

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