Set valued integrability in non separable Fr'{e}chet spaces and applications

Valeria Marraffa; Luisa Di Piazza; null Satco

Set valued integrability in non separable Fr'{e}chet spaces and applications

Valeria Marraffa, Luisa Di Piazza, Satco

Matematica e Informatica

Risultato della ricerca: Article › peer review

8 Citazioni (Scopus)

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.

Lingua originale	English
pagine (da-a)	1119-1138
Numero di pagine	20
Rivista	Mathematica Slovaca
Volume	66
Stato di pubblicazione	Published - 2016

All Science Journal Classification (ASJC) codes

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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.",

author = "Valeria Marraffa and {Di Piazza}, Luisa and Satco",

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T1 - Set valued integrability in non separable Fr'{e}chet spaces and applications

AU - Marraffa, Valeria

AU - Di Piazza, Luisa

AU - Satco, null

PY - 2016

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N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/165653

M3 - Article

VL - 66

SP - 1119

EP - 1138

JO - Mathematica Slovaca

JF - Mathematica Slovaca

SN - 0139-9918

ER -