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.
Settore MAT/05 - Analisi Matematica
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/43537
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