The Banach–Saks index

E. M. Semenov   ; F. A. Sukochev

Sbornik. Mathematics, Tome 195 (2004) no. 2, pp. 263-285

Résumé

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.

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