From geometry to invertibility preservers
Volume 174 / 2006
Studia Mathematica 174 (2006), 99-109
MSC: 47B49, 15A04.
DOI: 10.4064/sm174-1-8
Abstract
We characterize bijections on matrix spaces (operator algebras) preserving full rank (invertibility) of differences of matrix (operator) pairs in both directions.