6533b851fe1ef96bd12a8e13

RESEARCH PRODUCT

A CHARACTERIZATION OF THE WEAK RADON–NIKODÝM PROPERTY BY FINITELY ADDITIVE INTERVAL FUNCTIONS

K. MusiałB. BongiornoL. Di Piazza

subject

Pettis integralDiscrete mathematicsMathematics::Functional AnalysisPure mathematicsKurzweil-Henstock integral Pettis integral variational measure weak Radon-Nikodym property.Property (philosophy)General MathematicsBanach spacechemistry.chemical_elementRadonInterval (mathematics)Characterization (mathematics)chemistrySettore MAT/05 - Analisi MatematicaSet functionMathematics

description

AbstractA characterization of Banach spaces possessing the weak Radon–Nikodým 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.

yearjournalcountryeditionlanguage
2009-09-07Bulletin of the Australian Mathematical Society
https://doi.org/10.1017/s0004972709000513