The Banach-Saks index of some sequence spaces

We construct an example of a Rademacher subspace without the Banach-Saks property and study the relationship between the Banach-Saks indices of a space with a symmetric basis and its dual.

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Published in:Siberian mathematical journal 2010-03, Vol.51 (2), p.296-300
Main Author: Novikova, A. I.
Format: Article
Language:English
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Mathematics
Mathematics and Statistics
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description We construct an example of a Rademacher subspace without the Banach-Saks property and study the relationship between the Banach-Saks indices of a space with a symmetric basis and its dual.
doi_str_mv 10.1007/s11202-010-0030-7
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subjects Mathematics
Mathematics and Statistics
title The Banach-Saks index of some sequence spaces
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