Approximation and the n-Berezin transform of operators on the Bergman space

dc.creatorSuarez, Fernando Daniel
dc.date.accessioned2020-06-30T19:58:48Z
dc.date.accessioned2022-10-15T16:29:39Z
dc.date.available2020-06-30T19:58:48Z
dc.date.available2022-10-15T16:29:39Z
dc.date.created2020-06-30T19:58:48Z
dc.date.issued2005-07
dc.identifierSuarez, Fernando Daniel; Approximation and the n-Berezin transform of operators on the Bergman space; De Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 2005; 581; 7-2005; 175-192
dc.identifier0075-4102
dc.identifierhttp://hdl.handle.net/11336/108528
dc.identifier1435-5345
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4409349
dc.description.abstractTo any bounded operator S on the Bergman space La2 we associate a sequence of linear transforms Bn(S ) ∈ L∞(D), where n ≧ 0, and prove that the Toeplitz operators article image tend to S for some especial classes of operators S. In particular, this holds for every radial operator in the Toeplitz algebra. Finally, we show that the inclusion of the Toeplitz algebra into the essential commutant of the Bergman shift is proper.
dc.languageeng
dc.publisherDe Gruyter
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/journals/crll/2005/581/article-p175.xml
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1515/crll.2005.2005.581.175
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBERGMAN SPACE
dc.subjectTOEPLITZ OPERATORS
dc.subjectBEREZIN TRANSFORMS
dc.titleApproximation and the n-Berezin transform of operators on the Bergman space
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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