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Strictly singular and strictly co-singular inclusions between symmetric sequence spaces

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dc.contributor.authorHernández, Francisco L.
dc.contributor.authorSánchez de los Reyes, Víctor Manuel
dc.contributor.authorSemenov, Evgeny M.
dc.date.accessioned2023-06-20T09:37:33Z
dc.date.available2023-06-20T09:37:33Z
dc.date.issued2004-03-15
dc.description.abstractStrict singularity and strict co-singularity of inclusions between symmetric sequence spaces are studied. Suitable conditions are provided involving the associated fundamental functions. The special case of Lorentz and Marcinkiewicz spaces is characterized. It is also proved that if E hooked right arrow F are symmetric sequence spaces with E ≠ l(1) and F ≠ l c(0) and l(∞) then there exist a intermediate symmetric sequence space G such that E hooked right arrow G hooked right arrow F and both inclusions are not strictly singular. As a consequence new characterizations of the spaces c(o) and l(1) inside the class of all symmetric sequence spaces are given.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGES
dc.description.sponsorshipRFFI
dc.description.sponsorshipUniversities of Russia
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16004
dc.identifier.doi10.1016/j.jmaa.2003.11.010
dc.identifier.issn0022-247X
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0022247X03008448
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50060
dc.issue.number2
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.final476
dc.page.initial459
dc.publisherElsevier
dc.relation.projectIDBMF2001-1284
dc.relation.projectID02-01-00146
dc.relation.projectID04.01.051
dc.rights.accessRightsrestricted access
dc.subject.cdu517.982.27
dc.subject.cdu517.98
dc.subject.keywordBasic sequences
dc.subject.keywordOrlicz spaces
dc.subject.keywordoperators
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleStrictly singular and strictly co-singular inclusions between symmetric sequence spaces
dc.typejournal article
dc.volume.number291
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