Non-commutative martingale VMO-spaces
Studia Mathematica (2009)
- Volume: 191, Issue: 1, page 39-55
- ISSN: 0039-3223
Access Full Article
top
Abstract
topHow to cite
topNarcisse Randrianantoanina. "Non-commutative martingale VMO-spaces." Studia Mathematica 191.1 (2009): 39-55. <http://eudml.org/doc/286331>.
@article{NarcisseRandrianantoanina2009,
abstract = {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).},
author = {Narcisse Randrianantoanina},
journal = {Studia Mathematica},
keywords = {noncommutative -spaces; noncommutative martingale BMO-spaces},
language = {eng},
number = {1},
pages = {39-55},
title = {Non-commutative martingale VMO-spaces},
url = {http://eudml.org/doc/286331},
volume = {191},
year = {2009},
}
TY - JOUR
AU - Narcisse Randrianantoanina
TI - Non-commutative martingale VMO-spaces
JO - Studia Mathematica
PY - 2009
VL - 191
IS - 1
SP - 39
EP - 55
AB - 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).
LA - eng
KW - noncommutative -spaces; noncommutative martingale BMO-spaces
UR - http://eudml.org/doc/286331
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.