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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 2, Pages 367–372 (Mi smj2090)  
The Banach–Saks index of some sequence spaces

A. I. Novikova

Voronezh State University, Faculty of Mathematics, Voronezh
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Abstract: 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.
Keywords: rearrangement invariant space, Rademacher system, Banach–Saks index.
Received: 03.06.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 2, Pages 296–300
DOI: https://doi.org/10.1007/s11202-010-0030-7
Bibliographic databases:
Document Type: Article
UDC: 517.982
Language: Russian
Citation: A. I. Novikova, “The Banach–Saks index of some sequence spaces”, Sibirsk. Mat. Zh., 51:2 (2010), 367–372; Siberian Math. J., 51:2 (2010), 296–300
Citation in format AMSBIB
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