From geometry to invertibility preservers

Hans Havlicek; Peter Šemrl

Studia Mathematica (2006)

  • Volume: 174, Issue: 1, page 99-109
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Hans Havlicek, and Peter Šemrl. "From geometry to invertibility preservers." Studia Mathematica 174.1 (2006): 99-109. <http://eudml.org/doc/284555>.

@article{HansHavlicek2006,
abstract = {We characterize bijections on matrix spaces (operator algebras) preserving full rank (invertibility) of differences of matrix (operator) pairs in both directions.},
author = {Hans Havlicek, Peter Šemrl},
journal = {Studia Mathematica},
keywords = {full rank preserver; invertibility preserver},
language = {eng},
number = {1},
pages = {99-109},
title = {From geometry to invertibility preservers},
url = {http://eudml.org/doc/284555},
volume = {174},
year = {2006},
}

TY - JOUR
AU - Hans Havlicek
AU - Peter Šemrl
TI - From geometry to invertibility preservers
JO - Studia Mathematica
PY - 2006
VL - 174
IS - 1
SP - 99
EP - 109
AB - We characterize bijections on matrix spaces (operator algebras) preserving full rank (invertibility) of differences of matrix (operator) pairs in both directions.
LA - eng
KW - full rank preserver; invertibility preserver
UR - http://eudml.org/doc/284555
ER -

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