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http://hdl.handle.net/10662/10384
| Title: | The commutant of an operator with bounded conjugation orbits and C₀‒contractions |
| Authors: | Zarrabi, Mohamed |
| Keywords: | Operators;Commutant;Bounded conjugation orbit;C₀–contraction;Operadores;Conmutador;Órbita de conjugación limitada;C₀-contracción |
| Issue Date: | 2012 |
| Publisher: | Universidad de Extremadura |
| Abstract: | Let A be an invertible bounded linear operator on a complex Banach space, {A}′ the commutant of A and Bᴀ the set of all operators T such that 〖sup〗_(ₙ≥₀)∥AⁿTA⁻ⁿ ∥ < +∞. Equality {A}′ = Bᴀ was studied by many authors for differents classes of operators. In this paper we investigate a local version of this equality and the case where A is a C₀–contraction. |
| URI: | http://hdl.handle.net/10662/10384 |
| Appears in Collections: | Extracta Mathematicae Vol. 27, nº 2 (2012) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_27_2_175.pdf | 119,44 kB | Adobe PDF | View/Open |
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