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Compactness characterization of operators in the Toeplitz algebra of the Fock space F-alpha(p)

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dc.bibliographiccitation.firstpage1323
dc.bibliographiccitation.issue5
dc.bibliographiccitation.journalJournal of Functional Analysis
dc.bibliographiccitation.lastpage1355
dc.bibliographiccitation.volume263
dc.contributor.authorBauer, Wolfram
dc.contributor.authorIsralowitz, Joshua
dc.date.accessioned2018-11-07T09:07:01Z
dc.date.available2018-11-07T09:07:01Z
dc.date.issued2012
dc.description.abstractFor 1 < p < infinity let T-p(alpha) be the norm closure of the algebra generated by Toeplitz operators with bounded symbols acting on the standard weighted Fock space F-alpha(p). In this paper, we will show that an operator A is compact on F-alpha(p) and only if A is an element of T-p(alpha) and the Berezin transform B-alpha(A) of A vanishes at infinity. (C) 2012 Elsevier Inc. All rights reserved.
dc.description.sponsorshipEmmy-Noether grant of Deutsche Forschungsgemeinschaft
dc.identifier.doi10.1016/j.jfa.2012.04.020
dc.identifier.isi000306534800005
dc.identifier.urihttps://resolver.sub.uni-goettingen.de/purl?gro-2/25694
dc.notes.statuszu prüfen
dc.notes.submitterNajko
dc.publisherAcademic Press Inc Elsevier Science
dc.relation.issn0022-1236
dc.titleCompactness characterization of operators in the Toeplitz algebra of the Fock space F-alpha(p)
dc.typejournal_article
dc.type.internalPublicationyes
dc.type.peerReviewedyes
dc.type.statuspublished
dspace.entity.typePublication

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