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

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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.
Lingua originaleEnglish
pagine (da-a)476-485
Numero di pagine10
RivistaBulletin of the Australian Mathematical Society
Volume80
Stato di pubblicazionePublished - 2009

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Radon-Nikodym Property
Set-valued Function
Interval
Banach space

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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title = "A characterization of the weak Radon-Nikodym property by finitely additive interval functions",
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.",
keywords = "Kurzweil-Henstock integral, Pettis integral, variational measure, weak Radon-Nikodym property.",
author = "Benedetto Bongiorno and {Di Piazza}, Luisa and Kazimierz Musiał",
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 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.

AB - 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.

KW - Kurzweil-Henstock integral, Pettis integral, variational measure, 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 -