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arXiv · 1509.04970

Matrix semigroups whose ring commutators have real spectra are realizable

Mitja Mastnak·Heydar Radjavi
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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.

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Mitja Mastnak, Heydar Radjavi. 2015-09-16. Matrix semigroups whose ring commutators have real spectra are realizable. https://arxiv.org/abs/1509.04970

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