Banach-Saks properties in symmetric spaces of measurable operators

P. G. Dodds, T. K. Dodds, and F. A. Sukochev. "Banach-Saks properties in symmetric spaces of measurable operators." Studia Mathematica 178.2 (2007): 125-166. <http://eudml.org/doc/284561>.

@article{P2007,
abstract = {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).},
author = {P. G. Dodds, T. K. Dodds, F. A. Sukochev},
journal = {Studia Mathematica},
keywords = {Banach-Saks property; symmetric Banach function space; measurable operator},
language = {eng},
number = {2},
pages = {125-166},
title = {Banach-Saks properties in symmetric spaces of measurable operators},
url = {http://eudml.org/doc/284561},
volume = {178},
year = {2007},
}

TY - JOUR
AU - P. G. Dodds
AU - T. K. Dodds
AU - F. A. Sukochev
TI - Banach-Saks properties in symmetric spaces of measurable operators
JO - Studia Mathematica
PY - 2007
VL - 178
IS - 2
SP - 125
EP - 166
AB - 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).
LA - eng
KW - Banach-Saks property; symmetric Banach function space; measurable operator
UR - http://eudml.org/doc/284561
ER -