Banach&amp;#8211;Saks properties in symmetric spaces
  of measurable operators

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

doi:10.4064/sm178-2-2

Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

Banach–Saks properties in symmetric spaces of measurable operators

Tom 178 / 2007

P. G. Dodds, T. K. Dodds, F. A. Sukochev 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 $({\mathcal M},\tau )$.

Autorzy

P. G. DoddsSchool of Informatics and Engineering
The Flinders University of South Australia
Bedford Park, 5042, Australia
e-mail
T. K. DoddsSchool of Informatics and Engineering
The Flinders University of South Australia
Bedford Park, 5042, Australia
e-mail
F. A. SukochevSchool of Informatics and Engineering
The Flinders University of South Australia
Bedford Park, 5042, Australia
e-mail

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