Banach-Saks properties in symmetric spaces of measurable operators

• Autorzy: P. G. Dodds , T. K. Dodds , F. A. Sukochev
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 46L52: Noncommutative function spaces
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46L51: Noncommutative measure and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 178
• Numer: 2
• Strony: 125-166

Daty

wydano

2007

Twórcy

autor

P. G. Dodds

• School of Informatics and Engineering, The Flinders University of South Australia, Bedford Park, 5042, Australia

autor

T. K. Dodds

• School of Informatics and Engineering, The Flinders University of South Australia, Bedford Park, 5042, Australia

autor

F. A. Sukochev

• School of Informatics and Engineering, The Flinders University of South Australia, Bedford Park, 5042, Australia

Identyfikatory

DOI

10.4064/sm178-2-2