International Journal of Functional Analysis, Operator Theory and Applications
Volume 5, Issue 1, Pages 49 - 61
(February 2013)
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MORE ON THE EQUIVALENCE PROPERTIES OF RADON-NIKODÝM PROPERTY TYPES AND COMPLETE CONTINUITY TYPES OF BANACH SPACES
Mangatiana A. Robdera
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Abstract:
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  |
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