The Banach--Saks index
Sbornik. Mathematics, Tome 195 (2004) no. 2, pp. 263-285
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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.
@article{SM_2004_195_2_a4,
author = {E. M. Semenov and F. A. Sukochev},
title = {The {Banach--Saks} index},
journal = {Sbornik. Mathematics},
pages = {263--285},
publisher = {mathdoc},
volume = {195},
number = {2},
year = {2004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2004_195_2_a4/}
}
E. M. Semenov; F. A. Sukochev. The Banach--Saks index. Sbornik. Mathematics, Tome 195 (2004) no. 2, pp. 263-285. http://geodesic.mathdoc.fr/item/SM_2004_195_2_a4/