Banach–Saks properties in symmetric spaces of measurable operators
Tom 178 / 2007
Studia Mathematica 178 (2007), 125-166
MSC: Primary 46E30; Secondary 46L51, 46L52.
DOI: 10.4064/sm178-2-2
Streszczenie
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 $({\mathcal M},\tau )$.
