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Composition operators on the Bloch space of the unit ball of a Hilbert space

dc.contributor.authorBlasco de la Cruz, Oscar
dc.contributor.authorGalindo Pastor, Pablo
dc.contributor.authorLindström, Mikael
dc.contributor.authorMiralles Montolío, Alejandro
dc.date.accessioned2017-06-28T11:34:32Z
dc.date.available2017-06-28T11:34:32Z
dc.date.issued2017
dc.identifier.citationBLASCO, Oscar, et al. Composition Operators on the Bloch space of the Unit Ball of a Hilbert Space. Banach Journal of Mathematical Analysis, 2017, vol. 11, no 2, p. 311-334.ca_CA
dc.identifier.issn1735-8787
dc.identifier.urihttp://hdl.handle.net/10234/168126
dc.description.abstractEvery analytic self-map of the unit ball of a Hilbert space induces a bounded composition operator on the space of Bloch functions. Necessary and sufficient conditions for compactness of such composition operators are provided, as well as some examples that clarify the connections among such conditions.ca_CA
dc.description.sponsorShipBlasco's work was partially supported by Ministerio de Economia y Competitividad (MINECO) grant MTM2011-23164. Galindo and Lindstrom's work was partially supported by MINECO grant MTM2014-53241-P. Miralles's work was partially supported by MINECO grant MTM2014-53241-P, Universitat Jaume I project P1-1B2014-35, and Generalitat Valenciana project AICO/2016/030.ca_CA
dc.format.extent21 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherDuke University Pressca_CA
dc.relation.isPartOfBanach Journal of Mathematical Analysis, 2017, vol. 11, no 2ca_CA
dc.rights© Project Euclidca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectcomposition operatorca_CA
dc.subjectBloch function in the ballca_CA
dc.subjectinfinite-dimensional holomorphyca_CA
dc.titleComposition operators on the Bloch space of the unit ball of a Hilbert spaceca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1215/17358787-0000005X
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://projecteuclid.org/euclid.bjma/1485572420ca_CA
dc.type.versioninfo:eu-repo/semantics/sumittedVersion


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