Integral operators on the section space of a Banach bundle

J. W. Kitchen and D. A. Robbins

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-10

Abstract:

Let π : E → X and ρ : F → X be bundles of Banach spaces, where X is a compact Hausdorff space, and let V be a Banach space. Let Γ ( π ) denote the space of sections of the bundle π . We obtain two representations of integral operators T : Γ ( π ) → V in terms of measures. The first generalizes a recent result of P. Saab, the second generalizes a theorem of Grothendieck. We also study integral operators T : Γ ( π ) → Γ ( ρ ) which are C ( X ) -linear.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:824827

DOI: 10.1155/S0161171293000560

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