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Strictly singular inclusions into L1+L∞

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dc.contributor.authorHernández, Francisco L.
dc.contributor.authorSánchez de los Reyes, Víctor Manuel
dc.contributor.authorSemenov, Evgeny M.
dc.date.accessioned2023-06-20T09:46:44Z
dc.date.available2023-06-20T09:46:44Z
dc.date.issued2008-01
dc.descriptionFrancisco L. Hernández and Víctor M. Sánchez were partially supported by the Spanish Ministry of Education, grant MTM2005-00082 and Complutense-Santander grant PR27/05-14045. Evgeny M. Semenov was partially supported by RFBR (Russia), grant 05-01-00629, by Universities of Russia grant 04.01.051 and by a Spanish Ministry of Education grant SAB2002.
dc.description.abstractIt is given a complete characterization of the strict singularity and the disjoint strict singularity of the inclusions E → L1 + L∞ for the class of rearrangement invariant function spaces E on the [0,∞) interval. Their relationship is also analyzed. Suitable criteria are given involving the scale of order continuous weak L p-spaces for 1 < p < ∞.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipSpanish Ministry of Education
dc.description.sponsorshipComplutense-Santander
dc.description.sponsorshipRFBR
dc.description.sponsorshipUniversities of Russia
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/19837
dc.identifier.doi10.1007/s00209-007-0159-7
dc.identifier.issn0025-5874
dc.identifier.officialurlhttp://link.springer.com/article/10.1007%2Fs00209-007-0159-7
dc.identifier.relatedurlhttp://link.springer.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50344
dc.issue.number1
dc.journal.titleMathematische Zeitschrift
dc.language.isoeng
dc.page.final106
dc.page.initial87
dc.publisherSpringer
dc.relation.projectIDMTM2005-00082
dc.relation.projectIDPR27/05-14045
dc.relation.projectID05-01-00629
dc.relation.projectID04.01.051
dc.relation.projectIDSAB2002
dc.rights.accessRightsrestricted access
dc.subject.cdu517.98
dc.subject.keywordRearrangement invariant spaces
dc.subject.keywordStrict singularity
dc.subject.keywordDisjoint strict singularity Weak compactness
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleStrictly singular inclusions into L1+L∞
dc.typejournal article
dc.volume.number258
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