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On Sets with Extremely Big Slices

A new characterization of the Radon-Nikodym property in terms of sizes of slices and equivalent norms is presented. A property opposite to the Radon-Nikodym property is studied in the context of 1-unconditional sums of Banach spaces.

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Bibliographic Details
Main Author: Ivakhno, Ye.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106584
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Summary:A new characterization of the Radon-Nikodym property in terms of sizes of slices and equivalent norms is presented. A property opposite to the Radon-Nikodym property is studied in the context of 1-unconditional sums of Banach spaces.