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Vector-Valued Spaces of Multiplier Statistically Convergent Series and Uniform Convergence

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Vector-Valued Spaces of Multiplier Statistically Convergent Series and Uniform Convergence

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dc.contributor.author García-Pacheco, Francisco Javier es_ES
dc.contributor.author Kama, Ramazan es_ES
dc.contributor.author Murillo Arcila, Marina es_ES
dc.date.accessioned 2023-06-20T18:01:21Z
dc.date.available 2023-06-20T18:01:21Z
dc.date.issued 2022-02 es_ES
dc.identifier.issn 1422-6383 es_ES
dc.identifier.uri http://hdl.handle.net/10251/194410
dc.description.abstract [EN] In this paper, we introduce the spaces of vector-valued sequences containing multiplier (weakly) statistically convergent series. The completeness of such spaces is studied as well as some relations between unconditionally convergent and weakly unconditionally Cauchy series of these spaces. We also obtain generalizations of some results regarding uniform convergence of unconditionally convergent series through the concept of statistical convergence. Finally, we provide a version of the Orlicz- Pettis theorem for A-multiplier convergent operator series by means of the statistical convergence. es_ES
dc.description.sponsorship The first author has been supported by Research Grant PGC-101514-B-I00 awarded by the Ministry of Science, Innovation and Universities of Spain, and by the 2014-2020 ERDF Operational Programme and by the Department of Economy, Knowledge, Business and University of the Regional Government of Andalusia, with project reference: FEDER-UCA18-105867. The third author has been supported by MCIN/AEI/10.13039/501100011033, Project PID2019-105011GB-I00, and by Generalitat Valenciana, Project PROMETEU/2021/070. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Results in Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Statistical convergence es_ES
dc.subject Uniform convergence es_ES
dc.subject Unconditionally convergent series es_ES
dc.subject Weakly unconditionally Cauchy series es_ES
dc.title Vector-Valued Spaces of Multiplier Statistically Convergent Series and Uniform Convergence es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00025-021-01582-4 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-101514-B-I00/ES/METODOS ANALITICOS EN SIMETRIAS, TEORIA DE CONTROL Y OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//PROMETEO%2F2021%2F070//Análisis funcional, dinámica de operadores y aplicaciones/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105011GB-I00/ES/DINAMICA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Junta de Andalucía//FEDER-UCA18-105867/ es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation García-Pacheco, FJ.; Kama, R.; Murillo Arcila, M. (2022). Vector-Valued Spaces of Multiplier Statistically Convergent Series and Uniform Convergence. Results in Mathematics. 77(1):1-16. https://doi.org/10.1007/s00025-021-01582-4 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00025-021-01582-4 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 16 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 77 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\455737 es_ES
dc.contributor.funder Junta de Andalucía es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
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