The Banach–Saks index of some sequence spaces

A. I. Novikova

Voronezh State University, Faculty of Mathematics, Voronezh

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.

UDC: 517.982

Received: 03.06.2009

 English version: Siberian Mathematical Journal, 2010, 51:2, 296–300

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