6533b86dfe1ef96bd12c94c1

RESEARCH PRODUCT

Set valued integrability in non separable Fréchet spaces and applications

L. Di PiazzaValeria MarraffaBianca Satco

subject

Set (abstract data type)Pure mathematicsSettore MAT/05 - Analisi MatematicaGeneral Mathematics010102 general mathematics010103 numerical & computational mathematics0101 mathematicsmeasurable multifunction integrable multifunction non-separable Fr'{e}chet space Volterra inclusion.01 natural sciencesSeparable spaceMathematics

description

AbstractWe 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.

https://doi.org/10.1515/ms-2016-0209