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On the connected component of compact composition operators on the Hardy space

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dc.contributor.authorGallardo Gutiérrez, Eva Antonia
dc.contributor.authorGonzález, María J.
dc.contributor.authorNieminen, Pekka J.
dc.contributor.authorSaksman, Eero
dc.date.accessioned2023-06-20T10:34:24Z
dc.date.available2023-06-20T10:34:24Z
dc.date.issued2008
dc.description.abstractWe show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space H-2. This answers a question posed by Shapiro and Sundberg in 1990. We also establish an improved version of a theorem of MacCluer, giving a lower bound for the essential norm of a difference of composition operators in terms of the angular derivatives of their symbols. As a main tool we use Aleksandrov-Clark measures.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipPlan Nacional I+D
dc.description.sponsorshipGobierno de Aragon research group Analisis Matematico y Aplicaciones
dc.description.sponsorshipFinnish Graduate School in Mathematical Analysis
dc.description.sponsorshipAcademy of Finland
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21047
dc.identifier.citationGallardo Gutiérrez, E. A., et al. «On the Connected Component of Compact Composition Operators on the Hardy Space». Advances in Mathematics, vol. 219, n.o 3, octubre de 2008, pp. 986-1001. DOI.org (Crossref), https://doi.org/10.1016/j.aim.2008.06.005.
dc.identifier.doi10.1016/j.aim.2008.06.005
dc.identifier.issn0001-8708
dc.identifier.officialurlhttps//doi.org/10.1016/j.aim.2008.06.005
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/article/pii/S0001870808001564
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50595
dc.issue.number3
dc.journal.titleAdvances in Mathematics
dc.language.isoeng
dc.page.final1001
dc.page.initial986
dc.publisherElsvier
dc.relation.projectIDMTM2007-61446
dc.relation.projectIDMTM2005-00544
dc.relation.projectID2005SGR00774
dc.relation.projectIDDGA E-64
dc.relation.projectID118422
dc.relation.projectID113826
dc.relation.projectID118765
dc.rights.accessRightsrestricted access
dc.subject.cdu517
dc.subject.keywordComposition operators
dc.subject.keywordAleksandrov-Clark measures
dc.subject.keywordCompact operator
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleOn the connected component of compact composition operators on the Hardy spaceen
dc.typejournal article
dc.volume.number219
dspace.entity.typePublication
relation.isAuthorOfPublicationf56f1f11-4b62-4a87-80df-8dc195da1201
relation.isAuthorOfPublication.latestForDiscoveryf56f1f11-4b62-4a87-80df-8dc195da1201

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