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arXiv · 1507.07349

Set valued integrability in non separable Fréchet spaces and applications

L. Di Piazza·V. Marraffa·B. Satco
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Abstract

We focus on measurability and integrability for set valued functions in non-necessarily separable Fréchet spaces. We prove some properties concerning the equivalence between different classes of measurable multifunctions. We also provide useful characterizations of Pettis set-valued integrability in the announced framework. Finally, we indicate applications to Volterra integral inclusions.

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L. Di Piazza, V. Marraffa, B. Satco. 2015-07-27. Set valued integrability in non separable Fréchet spaces and applications. https://arxiv.org/abs/1507.07349

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