E. M. Semenov, F. A. Sukochev, “The Banach–Saks index”, Mat. Sb., 2004, Volume 195, Number 2,Pages <nobr>117

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The Banach–Saks index

E. M. Semenov^a, F. A. Sukochev^b

^a Voronezh State University
^b Flinders University

Abstract: The properties of the Banach–Saks index are studied in the class of rearrangement invariant spaces. The Banach–Saks indices of the spaces $L_{p,q}$ and some Orlicz spaces are calculated. Generalizations of the Banach–Saks theorems are obtained.

UDC: 517.982

MSC: 46E30

Received: 23.06.2003

DOI: 10.4213/sm802