Elements with generalized bounded conjugation orbits (Q2718964)

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scientific article; zbMATH DE number 1597858
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Elements with generalized bounded conjugation orbits
scientific article; zbMATH DE number 1597858

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    Elements with generalized bounded conjugation orbits (English)
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    14 May 2001
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    conjugation orbit
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    spectrum
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    power-bounded operator
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    localization principles
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    operator version of a tauberian type theorem
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    A new approach to a question raised by \textit{J. A. Deddens} [Lect. Notes Math. 693, 77-86 (1978; Zbl 0405.47029)] is presented via two localization principles: an operator version of a Tauberian type theorem due to Katznelson-Tzafriri and a result based on power-bounded operators given by Gelfand-Hille.
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