We focus on measurability and integrability for set valued functions in non-necessarily separable Fr'{e}chet 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.
Di Piazza L., Marraffa, V., Satco, B. (2016). Set valued integrability in non separable Fr'{e}chet spaces and applications. MATHEMATICA SLOVACA, 66(5), 1119-1138 [10.1515/ms-2016-0209].
Set valued integrability in non separable Fr'{e}chet spaces and applications
DI PIAZZA, Luisa;MARRAFFA, Valeria
;
2016-01-01
Abstract
We focus on measurability and integrability for set valued functions in non-necessarily separable Fr'{e}chet 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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