Isometries on non-commutative (quantum) Lorentz spaces associated with semi-finite von Neumann algebras
Operator Algebras
2021-01-12 v2
Abstract
In this article we characterize the extreme points of the unit ball of a non-commutative (quantum) Lorentz space associated with a semi-finite von Neumann algebra. This enables us to show that surjective isometries between non-commutative Lorentz spaces are projection disjointness preserving and finiteness preserving, which facilitates a characterization of the structure of these isometries.
Keywords
Cite
@article{arxiv.1907.07619,
title = {Isometries on non-commutative (quantum) Lorentz spaces associated with semi-finite von Neumann algebras},
author = {Pierre de Jager and Jurie Conradie},
journal= {arXiv preprint arXiv:1907.07619},
year = {2021}
}
Comments
The paper entitled "Extreme point methods in the study of isometries on certain non-commutative spaces" (arXiv identifier: 2007.02324) is a significantly revised, updated and extended version of this article