A characterization of the weak Radon-Nikodym property by finitely additive interval functions

Benedetto Bongiorno; Luisa Di Piazza; Kazimierz Musiał

A characterization of the weak Radon-Nikodym property by finitely additive interval functions

Benedetto Bongiorno, Luisa Di Piazza, Kazimierz Musiał

Matematica e Informatica

Risultato della ricerca: Article

6 Citazioni (Scopus)

Abstract

A characterization of Banach spaces possessing the weakRadon-Nikodym property is given in terms of finitely additiveinterval functions. Due to that characterization severalBanach space valued set functions that are only finitely additivecan be represented as integrals.

Lingua originale	English
pagine (da-a)	476-485
Numero di pagine	10
Rivista	Bulletin of the Australian Mathematical Society
Volume	80
Stato di pubblicazione	Published - 2009

All Science Journal Classification (ASJC) codes

Mathematics(all)

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Bongiorno, B., Di Piazza, L., & Musiał, K. (2009). A characterization of the weak Radon-Nikodym property by finitely additive interval functions. Bulletin of the Australian Mathematical Society, 80, 476-485.

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abstract = "A characterization of Banach spaces possessing the weakRadon-Nikodym property is given in terms of finitely additiveinterval functions. Due to that characterization severalBanach space valued set functions that are only finitely additivecan be represented as integrals.",

keywords = "Kurzweil-Henstock integral, Pettis integral, variational measure, weak Radon-Nikodym property., Kurzweil-Henstock integral, Pettis integral, variational measure, weak Radon-Nikodym property.",

author = "Benedetto Bongiorno and {Di Piazza}, Luisa and Kazimierz Musia{\l}",

year = "2009",

language = "English",

volume = "80",

pages = "476--485",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press",

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T1 - A characterization of the weak Radon-Nikodym property by finitely additive interval functions

AU - Bongiorno, Benedetto

AU - Di Piazza, Luisa

AU - Musiał, Kazimierz

PY - 2009

Y1 - 2009

N2 - A characterization of Banach spaces possessing the weakRadon-Nikodym property is given in terms of finitely additiveinterval functions. Due to that characterization severalBanach space valued set functions that are only finitely additivecan be represented as integrals.

AB - A characterization of Banach spaces possessing the weakRadon-Nikodym property is given in terms of finitely additiveinterval functions. Due to that characterization severalBanach space valued set functions that are only finitely additivecan be represented as integrals.

KW - Kurzweil-Henstock integral

KW - Pettis integral

KW - variational measure

KW - weak Radon-Nikodym property.

KW - Kurzweil-Henstock integral

KW - Pettis integral

KW - variational measure

KW - weak Radon-Nikodym property.

UR - http://hdl.handle.net/10447/43537

M3 - Article

VL - 80

SP - 476

EP - 485

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

SN - 0004-9727

ER -