Joint Majorization in Continuous Matrix Algebras
Operator Algebras
2023-02-17 v2 Functional Analysis
Abstract
Various notions of joint majorization are examined in continuous matrix algebras. The relative strengths of these notions are established via proofs and examples. In addition, the closed convex hulls of joint unitary orbits are completely characterized in continuous matrix algebras via notions of joint majorization. Some of these characterizations are extended to subhomogeneous C-algebras.
Keywords
Cite
@article{arxiv.2210.13309,
title = {Joint Majorization in Continuous Matrix Algebras},
author = {Xavier Mootoo and Paul Skoufranis},
journal= {arXiv preprint arXiv:2210.13309},
year = {2023}
}