The joint spectrum

We introduce the notion of joint spectrum of a compact set of matrices S⊂GLd(C), which is a multi‐dimensional generalization of the joint spectral radius. We begin with a thorough study of its properties (under various assumptions: irreducibility, Zariski‐density, and domination). Several classical...

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Veröffentlicht in:	Journal of the London Mathematical Society 2021-04, Vol.103 (3), p.943-990
Hauptverfasser:	Breuillard, Emmanuel, Sert, Cagri
Format:	Artikel
Sprache:	eng
Schlagworte:	15A18 20G20 22E46 (secondary) 37D30 (primary)
Online-Zugang:	Volltext
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