Here we present some comparison results between Birkhoff and Mc-Shane multivalued integration. The results that we obtain are the following: the McShane and the Birkhoff multivalued integrals are equivalent in Banach spaces with weak separable dual unit ball (for example in separable Banach spaces) and in this case they agree also with the Aumann Pettis multivalued integrals (this last comparison for the McShane multivalued integral holds without separability assumption).
A NOTE ON COMPARISON BETWEEN BIRKHOFF AND MCSHANE-TYPE INTEGRALS FOR MULTIFUNCTIONS
SAMBUCINI, Anna Rita
Membro del Collaboration Group
;BOCCUTO, AntonioMembro del Collaboration Group
2011
Abstract
Here we present some comparison results between Birkhoff and Mc-Shane multivalued integration. The results that we obtain are the following: the McShane and the Birkhoff multivalued integrals are equivalent in Banach spaces with weak separable dual unit ball (for example in separable Banach spaces) and in this case they agree also with the Aumann Pettis multivalued integrals (this last comparison for the McShane multivalued integral holds without separability assumption).File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
