Journal article
Equivalence Properties For The Radon-Nikodym Property Types and The Complete Continuity Property Types Of Banach Spaces
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Publication Details Author list: Robdera A. Mangatiana Publisher: Taylor & Francis Publication year: 2003 Journal: Quaestiones Mathematicae Journal acronym: QM Volume number: 26 Issue number: 4 Start page: 419 End page: 426 Number of pages: 8 ISSN: 1607-3606 eISSN: 1727-933X URL: https://www.tandfonline.com/doi/abs/10.2989/16073600309486072 |
We show that the types, I- and II-Λ-Radon-Nikodym Property of Banach spaces on the one hand, and the I- and II-Λ-Complete Continuity Property on the other, are equivalent properties whenever Λ is an ordering subset of a discrete abelian group. Keywords: Radon-Nikodym property; Complete continuity property; Vector measures; Discrete abelian group
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