Birkhoff-James classification of finite-dimensional $C^*$-algebras
Operator Algebras
2024-11-26 v1 Functional Analysis
Abstract
We classify real or complex finite-dimensional -algebras and their underlying fields from the properties of Birkhoff-James orthogonality. Application to strong Birkhoff-James orthogonality preservers is also given.
Keywords
Cite
@article{arxiv.2411.15273,
title = {Birkhoff-James classification of finite-dimensional $C^*$-algebras},
author = {Bojan Kuzma and Sushil Singla},
journal= {arXiv preprint arXiv:2411.15273},
year = {2024}
}
Comments
Accepted for publication in Proc. Amer. Math. Soc