Unbounded p-Convergence in Lattice-Normed Vector Lattices

dc.contributor.authorAydın A.
dc.contributor.authorEmelyanov E.
dc.contributor.authorErkurşun-Özcan N.
dc.contributor.authorMarabeh M.
dc.date.accessioned2020-01-29T18:53:48Z
dc.date.available2020-01-29T18:53:48Z
dc.date.issued2019
dc.departmentMAUNen_US
dc.description.abstractA net x? in a lattice-normed vector lattice (X, p, E) is unbounded p-convergent to x ? X if p(| x?? x| ? u) ? o 0 for every u ? X+. This convergence has been investigated recently for (X, p, E) = (X, |·|, X) under the name of uo-convergence, for (X, p, E) = (X, ?·?, ?) under the name of un-convergence, and also for (X, p, ?X ?) , where p(x)[f]:= |f|(|x|), under the name uaw-convergence. In this paper we study general properties of the unbounded p-convergence. © 2019, Allerton Press, Inc.en_US
dc.identifier.doi10.3103/S1055134419030027
dc.identifier.endpage182en_US
dc.identifier.issn1055-1344
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85071622536
dc.identifier.scopusqualityQ4
dc.identifier.startpage164en_US
dc.identifier.urihttps://dx.doi.org/10.3103/S1055134419030027
dc.identifier.urihttps://hdl.handle.net/20.500.12639/1244
dc.identifier.volume29en_US
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPleiades Publishingen_US
dc.relation.ispartofSiberian Advances in Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectlattice-normed vector latticeen_US
dc.subjectmixed-normed spaceen_US
dc.subjectun-convergenceen_US
dc.subjectuo-convergenceen_US
dc.subjectvector latticeen_US
dc.titleUnbounded p-Convergence in Lattice-Normed Vector Latticesen_US
dc.typeArticle

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