Elements with generalized bounded conjugation orbits (Q2718964)
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scientific article; zbMATH DE number 1597858
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elements with generalized bounded conjugation orbits |
scientific article; zbMATH DE number 1597858 |
Statements
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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