An alternative approach to weighted non-commutative Banach function spaces
Operator Algebras
2018-10-31 v1
Abstract
We use a weighted analogue of a trace to define a weighted non-commutative decreasing rearrangement and show it's relationship with the singular value function. We further show an alternative approach to constructing weighted non-commutative Banach function spaces using weighted non-commutative decreasing rearrangements and prove that this approach is equivalent to the original approach by Labuschagne and Majewski.
Keywords
Cite
@article{arxiv.1810.12753,
title = {An alternative approach to weighted non-commutative Banach function spaces},
author = {Claud Steyn},
journal= {arXiv preprint arXiv:1810.12753},
year = {2018}
}