Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2006, Volume 2, Number 1, Pages 94–103 (Mi jmag24)  
This article is cited in 1 scientific paper (total in 1 paper)

On sets with extremely big slices

Yevgen Ivakhno

Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
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Abstract: 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.
Key words and phrases: Radon–Nikodym property, big slice property, 1-unconditional sums of Banach spaces.
Received: 29.03.2005
Bibliographic databases:
Document Type: Article
MSC: 46B20, 46B22, 46G10, 46B03
Language: English
Citation: Yevgen Ivakhno, “On sets with extremely big slices”, Zh. Mat. Fiz. Anal. Geom., 2:1 (2006), 94–103
Citation in format AMSBIB
\Bibitem{Iva06}
\by Yevgen Ivakhno
\paper On sets with extremely big slices
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2006
\vol 2
\issue 1
\pages 94--103
\mathnet{http://mi.mathnet.ru/jmag24}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2205493}
\zmath{https://zbmath.org/?q=an:1141.46302}
\elib{https://elibrary.ru/item.asp?id=13009144}
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