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 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 originaleEnglish
pagine (da-a)476-485
Numero di pagine10
RivistaDefault journal
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 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.",
author = "{Di Piazza}, Luisa and Benedetto Bongiorno and Kazimierz Musiał",
year = "2009",
language = "English",
volume = "80",
pages = "476--485",
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T1 - A characterization of the weak Radon-Nikodym property by finitely additive interval functions

AU - Di Piazza, Luisa

AU - Bongiorno, Benedetto

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.

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

M3 - Article

VL - 80

SP - 476

EP - 485

JO - Default journal

JF - Default journal

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