Integral representation of linear functionals on spaces of sections

Seda, Anthony Karel

doi:10.1090/S0002-9939-1984-0746088-0

Integral representation of linear functionals on spaces of sections
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Proc. Amer. Math. Soc. 91 (1984), 549-555 Request permission

Abstract:

An integral representation is given of functionals on the normed linear space of all sections, with compact support, of a Banach bundle $p:E \to X$. This representation is shown to be equivalent in a certain sense to the strong lifting property on $X$ and to the disintegration of measures property on spaces $q:Y \to X$ over $X$.

References

Intégration

Éléments de mathématique

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