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Disjointly strictly singular and L-weakly compact inclusions between variable Lebesgue spaces

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dc.contributor.authorHernández Rodríguez, Francisco Luis
dc.contributor.authorRuiz Bermejo, César
dc.contributor.authorSanchiz Alonso, Mauro
dc.date.accessioned2025-05-20T18:13:13Z
dc.date.available2025-05-20T18:13:13Z
dc.date.issued2025
dc.description2025 Acuerdos transformativos CRUE
dc.description.abstractDisjointly strictly singular inclusions between variable Lebesgue spaces Lp(·)(μ) on finite measure are characterized. Suitable criteria in terms of the (bounded or unbounded) exponents are given. It is proved the equivalence of L-weak compactness (also called almost compactness) and disjoint strict singularity for variable Lebesgue space inclusions. For infinite measure any inclusion Lp(·)(μ) → Lq(·)(μ) is not disjointly strictly singular. No restrictions on the exponent are imposed.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación
dc.description.statuspub
dc.identifier.citationHernández, F. L., Ruiz, C., & Sanchiz, M. (2025). Disjointly strictly singular and L-weakly compact inclusions between variable Lebesgue spaces. Journal of Mathematical Analysis and Applications, 550(2), 129634. https://doi.org/10.1016/j.jmaa.2025.129634
dc.identifier.doi10.1016/j.jmaa.2025.129634
dc.identifier.issn0022-247X
dc.identifier.officialurlhttps://doi.org/10.1016/j.jmaa.2025.129634
dc.identifier.urihttps://hdl.handle.net/20.500.14352/120289
dc.issue.number2
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.initial129634 (22)
dc.publisherElsevier
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107701GB-I00/ES/OPERADORES, RETICULOS Y ESTRUCTURA DE ESPACIOS DE BANACH/
dc.rightsAttribution-NonCommercial 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.subject.keywordVariable Lebesgue spaces
dc.subject.keywordDisjoint strict singularity
dc.subject.keywordWeak compactness
dc.subject.keywordInclusion operators
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.subject.unesco1202.03 Álgebra y Espacios de Banach
dc.titleDisjointly strictly singular and L-weakly compact inclusions between variable Lebesgue spaces
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number550
dspace.entity.typePublication
relation.isAuthorOfPublicationcf176ab4-f289-4e3e-9659-c9b9bd629078
relation.isAuthorOfPublication99883408-190b-4f61-be14-23d8126a2710
relation.isAuthorOfPublication85c920a1-03fc-4328-85bf-2e1a4eabdcf3
relation.isAuthorOfPublication.latestForDiscoverycf176ab4-f289-4e3e-9659-c9b9bd629078

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