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Interpolation and extrapolation of strictly singular operators between L-p spaces

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dc.contributor.authorHernández, Francisco L.
dc.contributor.authorSemenov, E. M.
dc.contributor.authorTradacete, P.
dc.date.accessioned2023-06-17T22:07:51Z
dc.date.available2023-06-17T22:07:51Z
dc.date.issued2017
dc.description.abstractWe study the interpolation and extrapolation properties of strictly singular operators between different Lp spaces. To this end, the structure of strictly singular non-compact operators between L-p Lq spaces is analyzed. Among other things, we clarify the relation between strict singularity and the L-characteristic set of an operator. In particular, Krasnoselskii's interpolation theorem for compact operators is extended to the class of strictly singular operators. (C) 2017 Elsevier Inc.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.sponsorshipRussian grant
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/44793
dc.identifier.doi10.1016/j.aim.2017.06.028
dc.identifier.issn0001-8708
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0001870816317716
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/18108
dc.journal.titleAdvances in Mathematics
dc.language.isoeng
dc.page.final690
dc.page.initial667
dc.publisherElsvier
dc.relation.projectIDMTM2016-76808-P
dc.relation.projectIDMTM2016-75196-P
dc.relation.projectIDGrupo UCM (910346)
dc.relation.projectIDRFBR 17-01-00138
dc.rights.accessRightsrestricted access
dc.subject.cdu517.98
dc.subject.keywordInterpolation
dc.subject.keywordStrictly singular operator
dc.subject.keywordL-p spaces
dc.subject.keywordL-characteristic set
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleInterpolation and extrapolation of strictly singular operators between L-p spaces
dc.typejournal article
dc.volume.number316
dspace.entity.typePublication

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