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
RivistaBulletin of the Australian Mathematical Society
Volume80
Stato di pubblicazionePublished - 2009

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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