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Spectral characterization of idempotents and invertibility preserving linear maps

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Publication:1293767
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zbMath0934.16028MaRDI QIDQ1293767

Peter Šemrl, Matej Brešar

Publication date: 9 April 2000

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

idempotentsspectral radiiJordan homomorphismsJordan automorphismsantiautomorphismsinvertibility preserving maps


Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Spectrum, resolvent (47A10) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General theory of topological algebras (46H05) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60) Rings with polynomial identity (16R99)


Related Items

Additive mappings on symmetric matrices, A note on isomorphisms of quantum systems, Linear maps preserving invertibility or related spectral properties, Hua's fundamental theorem of the geometry of matrices., An extension of the Gleason-Kahane-Żelazko theorem: A possible approach to Kaplansky's problem, Some general techniques on linear preserver problems



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