On Sets with Extremely Big Slices

Автор(и)

  • Yevgen Ivakhno Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine

Анотація

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.

Mathematics Subject Classification: 46B20, 46B22, 46G10, 46B03.

Ключові слова:

Radon–Nikodym property, big slice property, 1-unconditional sums of Banach spaces

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Як цитувати

(1)
Ivakhno, Y. On Sets with Extremely Big Slices. Журн. мат. фіз. анал. геом. 2006, 2, 94-103.

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