A variational Henstock integral characterization of the Radon-Nikodym property

Risultato della ricerca: Article

17 Citazioni (Scopus)

Abstract

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.
Lingua originaleEnglish
pagine (da-a)87-99
Numero di pagine13
RivistaIllinois Journal of Mathematics
Volume53
Stato di pubblicazionePublished - 2009

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Entra nei temi di ricerca di 'A variational Henstock integral characterization of the Radon-Nikodym property'. Insieme formano una fingerprint unica.

  • Cita questo