Geodesic
Banach–Saks properties in symmetric spaces of measurable operators
P. G. Dodds1 ; T. K. Dodds1 ; F. A. Sukochev1
1 School of Informatics and Engineering The Flinders University of South Australia Bedford Park, 5042, Australia
Studia Mathematica, Tome 178 (2007) no. 2, pp. 125-166

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $E({\mathcal M},\tau )$ of $\tau $-measurable operators affiliated with a given semifinite von Neumann algebra $({\mathcal M},\tau )$.
DOI : 10.4064/sm178-2-2
Keywords: study banach saks properties symmetric spaces measurable operators principal result shows symmetric banach function space positive semiaxis fatou property has banach saks property does non commutative space mathcal tau tau measurable operators affiliated given semifinite von neumann algebra mathcal tau

P. G. Dodds 1 ; T. K. Dodds 1 ; F. A. Sukochev 1

1 School of Informatics and Engineering The Flinders University of South Australia Bedford Park, 5042, Australia 
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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) no. 2, pp. 125-166. doi: 10.4064/sm178-2-2

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