Geodesic
From geometry to invertibility preservers
Hans Havlicek 1   ; Peter Šemrl 2
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
Studia Mathematica, Tome 174 (2006) no. 1, pp. 99-109 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We characterize bijections on matrix spaces (operator algebras) preserving full rank (invertibility) of differences of matrix (operator) pairs in both directions.
DOI : 10.4064/sm174-1-8
Keywords: characterize bijections matrix spaces operator algebras preserving full rank invertibility differences matrix operator pairs directions

Hans Havlicek  1   ; Peter Šemrl  2

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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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

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