A characterization of Banach spaces possessing the weak Radon-Nikodym property is given in terms of finitely additive interval functions. Due to that characterization several Banach space valued set functions that are only finitely additive can be represented as integrals.
Bongiorno, B., Di Piazza, L., Musial, K. (2009). A characterization of the weak Radon-Nikodym property by finitely additive interval functions. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 80(03), 476-485 [10.1017/S0004972709000513].
A characterization of the weak Radon-Nikodym property by finitely additive interval functions
BONGIORNO, Benedetto;DI PIAZZA, Luisa;
2009-01-01
Abstract
A characterization of Banach spaces possessing the weak Radon-Nikodym property is given in terms of finitely additive interval functions. Due to that characterization several Banach space valued set functions that are only finitely additive can be represented as integrals.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
wrnp.pdf
Solo gestori archvio
Dimensione
134.04 kB
Formato
Adobe PDF
|
134.04 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
