The Banach-Saks index

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©, 2004 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
, , Citation E M Semenov and F A Sukochev 2004 Sb. Math. 195 263 DOI 10.1070/SM2004v195n02ABEH000802

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1 Voronezh State University, Voronezh, Russian Federation

2 Flinders University, Adelaide, Australia

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1064-5616/195/2/263

Abstract

The properties of the Banach-Saks index are studied in the class of rearrangement invariant spaces. The Banach-Saks indices of the spaces and some Orlicz spaces are calculated. Generalizations of the Banach-Saks theorems are obtained.

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10.1070/SM2004v195n02ABEH000802