The Essential Norm of Operators in the Toeplitz Algebra on Ap(Bn)

dc.creatorSuarez, Fernando Daniel
dc.date.accessioned2017-07-03T22:09:36Z
dc.date.accessioned2018-11-06T13:48:12Z
dc.date.available2017-07-03T22:09:36Z
dc.date.available2018-11-06T13:48:12Z
dc.date.created2017-07-03T22:09:36Z
dc.date.issued2007-12
dc.identifierSuarez, Fernando Daniel; The Essential Norm of Operators in the Toeplitz Algebra on Ap(Bn); Indiana University; Indiana University Mathematics Journal; 56; 5; 12-2007; 2185-2232
dc.identifier0022-2518
dc.identifierhttp://hdl.handle.net/11336/19444
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1879583
dc.description.abstractLet Ap be the Bergman space on the unit ball Bn of Cn for 1 <p< ∞, and Tp be the corresponding Toeplitz algebra. We show that every S ∈ Tp can be approximated by operators that are specially suited for the study of local behavior. This is used to obtain several estimates for the essential norm of S ∈ Tp, an estimate for the essential spectral radius of S ∈ T2, and a localization result for its essential spectrum. Finally, we characterize compactness in terms of the Berezin transform for operators in Tp.
dc.languageeng
dc.publisherIndiana University
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1512/iumj.2007.56.3095
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.iumj.indiana.edu/IUMJ/FULLTEXT/2007/56/3095
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.titleThe Essential Norm of Operators in the Toeplitz Algebra on Ap(Bn)
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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