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Subjects
46-XX Functional analysis
46Lxx Selfadjoint operator algebras ( $C^{*}$ -algebras, von Neumann ( $W^{*}$ -) algebras, etc.)
46L52 Noncommutative function spaces

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Banach-Saks properties in symmetric spaces of measurable operators

P. G. Dodds, T. K. Dodds, F. A. Sukochev (2007)

Studia Mathematica

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).

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