Orlicz Spaces associated with a Semi-Finite Von Neumann Algebra
Operator Algebras
2011-08-17 v1
Abstract
In the present paper we introduce a certain class of non commutative Orlicz spaces, associated with arbitrary faithful normal locally-finite weights on a semi-finite von Neumann algebra We describe the dual spaces for such Orlicz spaces and, in the case of regular weights, we show that they can be realized as linear subspaces of the algebra of of locally measurable operators affiliated with
Keywords
Cite
@article{arxiv.1108.3267,
title = {Orlicz Spaces associated with a Semi-Finite Von Neumann Algebra},
author = {Sh. A. Ayupov and V. I. Chilin and R. Z. Abdullaev},
journal= {arXiv preprint arXiv:1108.3267},
year = {2011}
}
Comments
12 pages