The commutant of an operator with bounded conjugation orbits and $C_0$-contractions.
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ZARRABI, Mohamed | |
| dc.date.accessioned | 2024-04-04T02:19:06Z | |
| dc.date.available | 2024-04-04T02:19:06Z | |
| dc.date.created | 2012 | |
| dc.date.issued | 2012 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189373 | |
| dc.description.abstractEn | Let $A$ be an invertible bounded linear operator on a complex Banach space, $\{A\}'$ the commutant of $A$ and $B_A$ the set of all operators $T$ such that $\sup_{n\geq 0} \|A^nTA^{-n}\|<+\infty$. Equality $\{A\}'= B_A$ 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 $C_0$-contraction. | |
| dc.language.iso | en | |
| dc.subject.en | Operators | |
| dc.subject.en | commutant | |
| dc.subject.en | bounded conjugation orbit | |
| dc.subject.en | $C_0$--contraction | |
| dc.title.en | The commutant of an operator with bounded conjugation orbits and $C_0$-contractions. | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Mathématiques [math]/Algèbres d'opérateurs [math.OA] | |
| bordeaux.journal | Extracta Mathematicae | |
| bordeaux.page | 175-185 | |
| bordeaux.volume | 27 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00959070 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00959070v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Extracta%20Mathematicae&rft.date=2012&rft.volume=27&rft.issue=2&rft.spage=175-185&rft.epage=175-185&rft.au=ZARRABI,%20Mohamed&rft.genre=article |
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