C-Infinity-Bounding Sets and Compactness

dc.contributor.authorBiström, P.
dc.contributor.authorJaramillo Aguado, Jesús Ángel
dc.date.accessioned2023-06-20T17:00:29Z
dc.date.available2023-06-20T17:00:29Z
dc.date.issued1994
dc.description.abstractIn this article it is proved that any set in a real Banach space on which the C-infinity-functions are bounded, is relatively compact. In particular, for any real Banach space E, a sequence (x(n)) convergences to x in E if and only if f(x(n)) --> S(x) for all f is an element of C-infinity(E).
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGIGYT (Spain)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16787
dc.identifier.issn0025-5521
dc.identifier.relatedurlhttp://www.digizeitschriften.de
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57614
dc.issue.number1
dc.journal.titleMathematica Scandinavica
dc.language.isoeng
dc.page.final86
dc.page.initial82
dc.publisherMatematisk Institut
dc.relation.projectIDGrant PB90-0044
dc.rights.accessRightsrestricted access
dc.subject.cdu517.98
dc.subject.keywordC1-bounding sets
dc.subject.keywordcompactness
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleC-Infinity-Bounding Sets and Compactness
dc.typejournal article
dc.volume.number75
dspace.entity.typePublication
relation.isAuthorOfPublication8b6e753b-df15-44ff-8042-74de90b4e3e9
relation.isAuthorOfPublication.latestForDiscovery8b6e753b-df15-44ff-8042-74de90b4e3e9

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