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Normal-Preserving Linear Mappings

Published online by Cambridge University Press:  20 November 2018

Matej Brešar  and
Peter Šemrl
Matej Brešar
Affiliation:
Department of Mathematics, University of Maribor PF, Koroška 160 62000 Maribor Slovenia
Peter Šemrl
Affiliation:
Department of Mathematics, University of Ljubljana, Jadranska 19, 61000 Ljubljana, Slovenia
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Abstract

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Let H be a Hilbert space, dim H ≥ 3, and B(H) the algebra of all bounded linear operators on H. We characterize bijective linear mappings on B(H) that preserve normal operators.

Keywords

47B1547D30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 3 , 01 September 1994 , pp. 306 - 309
Copyright
Copyright © Canadian Mathematical Society 1994

References

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