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

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dc.authoridGarcia-Pacheco, Francisco/0000-0001-6208-6071
dc.authoridmurillo arcila, marina/0000-0001-6589-0452
dc.contributor.authorGarcia-Pacheco, Francisco Javier
dc.contributor.authorKama, Ramazan
dc.contributor.authorMurillo-Arcila, Marina
dc.date.accessioned2024-12-24T19:24:23Z
dc.date.available2024-12-24T19:24:23Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn 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.
dc.description.sponsorshipMinistry of Science, Innovation and Universities of Spain [PGC-101514-B-I00]; 2014-2020 ERDF Operational Programme; Department of Economy, Knowledge, Business and University of the Regional Government of Andalusia [FEDER-UCA18-105867]; Generalitat Valenciana [PROMETEU/2021/070]; [MCIN/AEI/10.13039/501100011033]; [PID2019-105011GB-I00]
dc.description.sponsorshipThe 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.
dc.identifier.doi10.1007/s00025-021-01582-4
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85122083566
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00025-021-01582-4
dc.identifier.urihttps://hdl.handle.net/20.500.12604/5964
dc.identifier.volume77
dc.identifier.wosWOS:000736720000004
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofResults in Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectStatistical convergence
dc.subjectUniform convergence
dc.subjectUnconditionally convergent series
dc.subjectWeakly unconditionally Cauchy series
dc.titleVector-Valued Spaces of Multiplier Statistically Convergent Series and Uniform Convergence
dc.typeArticle

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