Set valued integrability in non separable Fréchet spaces and applications

2015/07/27 by Luisa Di Piazza, Di Piazza, L., Valeria Marraffa +3
Computer Science · Mathematics · #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy Systems and Optimization #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1507.07349

openalex publication_date 2015/07/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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