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dc.contributor.author
Suarez, Fernando Daniel  
dc.date.available
2017-07-03T22:09:36Z  
dc.date.issued
2007-12  
dc.identifier.citation
Suarez, 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.identifier.issn
0022-2518  
dc.identifier.uri
http://hdl.handle.net/11336/19444  
dc.description.abstract
Let 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.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Indiana University  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The Essential Norm of Operators in the Toeplitz Algebra on Ap(Bn)  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-07-03T16:50:09Z  
dc.journal.volume
56  
dc.journal.number
5  
dc.journal.pagination
2185-2232  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Indiana  
dc.description.fil
Fil: Suarez, Fernando Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina  
dc.journal.title
Indiana University Mathematics Journal  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1512/iumj.2007.56.3095  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.iumj.indiana.edu/IUMJ/FULLTEXT/2007/56/3095  

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