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Matrix semigroups whose ring commutators have real spectra are realizable.

Authors :
Mastnak, Mitja
Radjavi, Heydar
Source :
Semigroup Forum. Aug2017, Vol. 95 Issue 1, p51-65. 15p.
Publication Year :
2017

Abstract

We study matrix semigroups in which ring commutators have real spectra. We prove that irreducible semigroups with this property are simultaneously similar to semigroups of real-entried matrices. We also obtain a structure theorem for compact groups satisfying the property under investigation. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00371912
Volume :
95
Issue :
1
Database :
Academic Search Index
Journal :
Semigroup Forum
Publication Type :
Academic Journal
Accession number :
124517181
Full Text :
https://doi.org/10.1007/s00233-016-9797-6