From geometry to invertibility preservers
Rings and Algebras
2024-02-05 v1 Algebraic Geometry
Functional Analysis
Abstract
We characterize bijections on matrix spaces (operator algebras) preserving full rank (invertibility) of differences of matrix (operator) pairs in both directions.
Cite
@article{arxiv.1304.0232,
title = {From geometry to invertibility preservers},
author = {Hans Havlicek and Peter Šemrl},
journal= {arXiv preprint arXiv:1304.0232},
year = {2024}
}