Journal article

More on the equivalence properties of the Radon-Nikodym property types and the complete continuity property types of Banach spaces


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Publication Details

Author list: Mangatiana A. Robdera

Publisher: Pushpa Publishing House

Publication year: 2013

Journal: International Journal of Functional Analysis Operator Theory and Applications

Journal acronym: IJFAOTA

Volume number: 5

Issue number: 1

Start page: 49

End page: 61

Number of pages: 13

ISSN: 0975-2919

URL: http://www.pphmj.com/abstract/7422.htm



We study the equivalence property of the I- and II-L-Radon-Nikodým property (resp. I- and II-L-complete continuity property) types of Banach spaces. As a by-product, we obtain a proof of the following: F. Lust-Picard’s conjecture [9]: a subset L of a discrete abelian group is a Rosenthal set if and only if

Keywords and phrases: Radon-Nikodym types, Complete continuity types, Vector measures, Discrete abelian groups.


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Last updated on 2024-16-09 at 13:40