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Banach–Saks properties in symmetric spaces of measurable operators

Peter G. DoddsSchool of Informatics and Engineering The Flinders University of South Australia Bedford Park, 5042, AustraliaTheresa K.-Y. DoddsSchool of Informatics and Engineering The Flinders University of South Australia Bedford Park, 5042, AustraliaFedor SukochevSchool of Informatics and Engineering The Flinders University of South Australia Bedford Park, 5042, Australia
2007en
ABI

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 do

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