On joint spectral radius of commuting operators in Hilbert spaces
Our aim in this paper is to give a new formula of the joint spectral radius of commuting d-tuples of operators on a complex Hilbert space. Also we show that r(T)≤ω(T) for a commuting d-tuple of operators T, where r(T) and ω(T) denote respectively the joint spectral radius and the joint numerical rad...
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| Veröffentlicht in: | Linear algebra and its applications 2018-11, Vol.557, p.455-463 |
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| container_title | Linear algebra and its applications |
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| creator | Baklouti, Hamadi Feki, Kais |
| description | Our aim in this paper is to give a new formula of the joint spectral radius of commuting d-tuples of operators on a complex Hilbert space. Also we show that r(T)≤ω(T) for a commuting d-tuple of operators T, where r(T) and ω(T) denote respectively the joint spectral radius and the joint numerical radius of T. This generalizes the well known relation between the spectral and the numerical radii of Hilbert space operators which is proved in [10]. |
| doi_str_mv | 10.1016/j.laa.2018.08.017 |
| format | Article |
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| ispartof | Linear algebra and its applications, 2018-11, Vol.557, p.455-463 |
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| language | eng |
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| source | ScienceDirect Journals (5 years ago - present); Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Hilbert space Joint approximate spectrum Joint spectral radius Linear algebra Mathematical functions Normal operator Numerical radius Operators |
| title | On joint spectral radius of commuting operators in Hilbert spaces |
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