Banach-Saks properties in symmetric spaces of measurable operators
P. G. Dodds ; T. K. Dodds ; F. A. Sukochev
Studia Mathematica, Tome 178 (2007), p. 125-166 / Harvested from The Polish Digital Mathematics Library
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We study Banach-Saks properties in symmetric spaces of measurable operators. A principal result shows that if the symmetric Banach function space E on the positive semiaxis with the Fatou property has the Banach-Saks property then so also does the non-commutative space E(ℳ,τ) of τ-measurable operators affiliated with a given semifinite von Neumann algebra (ℳ,τ).

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:284561 
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P. G. Dodds; T. K. Dodds; F. A. Sukochev. Banach-Saks properties in symmetric spaces of measurable operators. Studia Mathematica, Tome 178 (2007) pp. 125-166. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm178-2-2/