Integral Operators on Spaces of Continuous Vector-valued Functions

Paulette Saab

Integral Operators on Spaces of Continuous Vector-valued Functions

Functional Analysis 2009-09-25 v1

Authors: Paulette Saab

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.

Keywords

operator theory on banach spaces banach space banach spaces

Cite

@article{arxiv.math/9201210,
  title  = {Integral Operators on Spaces of Continuous Vector-valued Functions},
  author = {Paulette Saab},
  journal= {arXiv preprint arXiv:math/9201210},
  year   = {2009}
}

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