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Powers and roots of Toeplitz operators

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorISSAM, Louhichi
dc.date.accessioned2024-04-04T02:38:18Z
dc.date.available2024-04-04T02:38:18Z
dc.date.created2006-11-29
dc.date.issued2006-11-29
dc.identifier.issn0002-9939
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190864
dc.description.abstractEnWe study the commutativity of two Toeplitz operators whose symbols are quasihomogeneous functions. We give a relationship between this commutativity and the roots (or powers) of the Toeplitz operators. We use this to characterize Toeplitz operators with symbols in $ L^{\infty}(\mathbb{D})$ which commute with Toeplitz operators whose symbols are of the form $ e^{ip\theta}r^m$.
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.subject.enToeplitz operators
dc.subject.enBergman space
dc.title.enPowers and roots of Toeplitz operators
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
bordeaux.journalProceedings of the American Mathematical Society
bordeaux.page1465-1475
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00387077
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00387077v1
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