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
Candeloro, D., DI PIAZZA, L., Musial, K., & Rita Sambucini, A. (2020). Integration of multifunctions with closed convex values in arbitrary Banach spaces. JOURNAL OF CONVEX ANALYSIS, 27(4), 1-14.
Data di pubblicazione: | 2020 | |
Titolo: | Integration of multifunctions with closed convex values in arbitrary Banach spaces | |
Autori: | ||
Citazione: | Candeloro, D., DI PIAZZA, L., Musial, K., & Rita Sambucini, A. (2020). Integration of multifunctions with closed convex values in arbitrary Banach spaces. JOURNAL OF CONVEX ANALYSIS, 27(4), 1-14. | |
Rivista: | ||
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 | |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
JCA2020.pdf | Versione Editoriale | Administrator Richiedi una copia |