Abstract
| Lingua originale | English |
|---|---|
| pagine (da-a) | 87-99 |
| Numero di pagine | 13 |
| Rivista | Default journal |
| Volume | 53 |
| Stato di pubblicazione | Published - 2009 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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A variational Henstock integral characterization of the Radon-Nikodym property. / Bongiorno, Benedetto; Di Piazza, Luisa; Musiałl.
In: Default journal, Vol. 53, 2009, pag. 87-99.Risultato della ricerca: Article
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TY - JOUR
T1 - A variational Henstock integral characterization of the Radon-Nikodym property
AU - Bongiorno, Benedetto
AU - Di Piazza, Luisa
AU - Musiałl, null
PY - 2009
Y1 - 2009
N2 - A characterization of Banach spacespossessing the Radon-Nikodym property is given in terms offinitely additive interval functions. We prove that a Banach spaceX has the RNP if and only if each X-valued finitely additiveinterval function possessing absolutely continuous variationalmeasure is a variational Henstock integral of an X-valuedfunction. Due to that characterization several X-valued setfunctions that are only finitely additive can be represented asintegrals.
AB - A characterization of Banach spacespossessing the Radon-Nikodym property is given in terms offinitely additive interval functions. We prove that a Banach spaceX has the RNP if and only if each X-valued finitely additiveinterval function possessing absolutely continuous variationalmeasure is a variational Henstock integral of an X-valuedfunction. Due to that characterization several X-valued setfunctions that are only finitely additive can be represented asintegrals.
KW - Henstock integral
KW - Pettis integral
KW - Radon-Nikodym property
KW - variational measure
UR - http://hdl.handle.net/10447/49043
M3 - Article
VL - 53
SP - 87
EP - 99
JO - Default journal
JF - Default journal
ER -