Integration of multifunctions with closed convex values in arbitrary Banach spaces

Luisa Di Piazza, Domenico Candeloro

Risultato della ricerca: Articlepeer review

Abstract

Integral properties of multifunctions with closed convex values are studied. In this more general framework not all the tools and the technique used for weakly compact convex valued multifunctions work. We prove that positive Denjoy-Pettis integrable multifunctions are Pettis integrable and we obtain a full description of McShane integrability in terms of Henstock and Pettis integrability, finishing the problem started by Fremlin in 1994
Lingua originaleEnglish
pagine (da-a)1-14
Numero di pagine14
RivistaJournal of Convex Analysis
Volume27
Stato di pubblicazionePublished - 2020

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