Non-commutative martingale VMO-spaces

• Autorzy: Narcisse Randrianantoanina
• Języki publikacji: EN

Abstrakty

EN

We study Banach space properties of non-commutative martingale VMO-spaces associated with general von Neumann algebras. More precisely, we obtain a version of the classical Kadets-Pełczyński dichotomy theorem for subspaces of non-commutative martingale VMO-spaces. As application we prove that if ℳ is hyperfinite then the non-commutative martingale VMO-space associated with a filtration of finite-dimensional von Neumannn subalgebras of ℳ has property (u).

Kategorie tematyczne

• 46L52: Noncommutative function spaces
• 46B10: Duality and reflexivity
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 191
• Numer: 1
• Strony: 39-55

Daty

wydano

2009

Twórcy

autor

Narcisse Randrianantoanina

• Department of Mathematics, Miami University, Oxford, OH 45056, U.S.A.

Identyfikatory

DOI

10.4064/sm191-1-3