On isometry groups of self-adjoint traceless and skew-symmetric matrices
Functional Analysis
2017-09-15 v1
Abstract
This note is concerned with isometries on the spaces of self-adjoint traceless matrices. We compute the group of isometries with respect to any unitary similarity invariant norm. This completes and extends the result of Nagy on Schatten -norm isometries. Furthermore, we point out that our proof techniques could be applied to obtain an old result concerning isometries on skew-symmetric matrices.
Keywords
Cite
@article{arxiv.1709.04507,
title = {On isometry groups of self-adjoint traceless and skew-symmetric matrices},
author = {Marcell Gaál and Robert M. Guralnick},
journal= {arXiv preprint arXiv:1709.04507},
year = {2017}
}