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On geometric spectral radius of commuting \(n\)-tuples of operators - MaRDI portal

On geometric spectral radius of commuting \(n\)-tuples of operators (Q1196278)

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scientific article; zbMATH DE number 78111
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English
On geometric spectral radius of commuting \(n\)-tuples of operators
scientific article; zbMATH DE number 78111

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    On geometric spectral radius of commuting \(n\)-tuples of operators (English)
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    15 December 1992
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    The main result of the paper is to prove that the classical joint spectra of an \(n\)-tuple of commuting operators \((T_ 1,\dots,T_ n)\) on a Banach space, as the Taylor spectrum, the Harte spectrum and some other spectroids, the geometrical spectral radius is the same and depends only on the commuting \(n\)-tuple of operators \((T_ 1,\dots,T_ n)\).
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    joint spectra of an \(n\)-tuple of commuting operators
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    Taylor spectrum
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    Harte spectrum
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    spectroids
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    geometrical spectral radius
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