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Compatible locally convex topologies on normed spaces: cardinality aspects

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dc.contributor.authorMartín Peinador, Elena
dc.contributor.authorPlichko, A.
dc.contributor.authorTarieladze, Vaja
dc.date.accessioned2023-06-17T22:11:09Z
dc.date.available2023-06-17T22:11:09Z
dc.date.issued2017
dc.description.abstractFor a normed infinite-dimensional space, we prove that the family of all locally convex topologies which are compatible with the original norm topology has cardinality greater or equal to c.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipShota Rustaveli National Science Foundation
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/45118
dc.identifier.doi10.1017/S0004972717000090
dc.identifier.issn0004-9727
dc.identifier.officialurlhttps://goo.gl/gQrr1S
dc.identifier.relatedurlhttps://www.cambridge.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/18186
dc.issue.number1
dc.journal.titleBulletin of the Australian Mathematical Society
dc.language.isoeng
dc.page.final145
dc.page.initial139
dc.publisherCambridge University Press
dc.relation.projectIDMTM 2013-42486-P
dc.relation.projectIDMTM 2016-79422-P
dc.relation.projectIDFR/539/5-100/13
dc.rights.accessRightsrestricted access
dc.subject.cdu517.98
dc.subject.keywordNormed space
dc.subject.keywordLocally convex topology
dc.subject.keywordCompatible topology
dc.subject.keywordCardinality
dc.subject.keywordAntichain
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleCompatible locally convex topologies on normed spaces: cardinality aspects
dc.typejournal article
dc.volume.number96
dspace.entity.typePublication
relation.isAuthorOfPublication0074400c-5caa-43fa-9c45-61c4b6f02093
relation.isAuthorOfPublication26c13c99-272d-4261-8a6b-caef686ac19b
relation.isAuthorOfPublication.latestForDiscovery0074400c-5caa-43fa-9c45-61c4b6f02093

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