1Institut für Diskrete Mathematik und Geometrie Technische Universität Wien Wiedner Hauptstrasse 8–10 A-1040 Wien, Austria 2Department of Mathematics University of Ljubljana Jadranska 19 SI-1000 Ljubljana, Slovenia
Studia Mathematica, Tome 174 (2006) no. 1, pp. 99-109
We characterize bijections on matrix spaces (operator algebras) preserving full rank (invertibility) of differences of matrix (operator) pairs in both directions.
1
Institut für Diskrete Mathematik und Geometrie Technische Universität Wien Wiedner Hauptstrasse 8–10 A-1040 Wien, Austria
2
Department of Mathematics University of Ljubljana Jadranska 19 SI-1000 Ljubljana, Slovenia
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author = {Hans Havlicek and Peter \v{S}emrl},
title = {From geometry to invertibility preservers},
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Hans Havlicek; Peter Šemrl. From geometry to invertibility preservers. Studia Mathematica, Tome 174 (2006) no. 1, pp. 99-109. doi: 10.4064/sm174-1-8