Riesz Lemma in Normed Quasilinear Spaces and Its an Application

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dc.authoridÇAKAN, Sümeyye/0000-0001-8761-8564
dc.authorwosidÇAKAN, Sümeyye/ABH-4275-2020
dc.contributor.authorCakan, Sumeyye
dc.contributor.authorYilmazl, Yilmaz
dc.date.accessioned2024-08-04T20:44:37Z
dc.date.available2024-08-04T20:44:37Z
dc.date.issued2018
dc.departmentİnönü Üniversitesien_US
dc.description.abstractAseev (Proc Steklov Inst Math 2:23-52, 1986) started a new field in functional analysis by introducing the concept of normed quasilinear spaces which is a generalization of classical normed linear spaces. Then, we introduced the normed proper quasilinear spaces in addition to the notions of regular and singular dimension of a quasilinear space, Cakan and Yilmaz (J Nonlinear Sci Appl 8:816-836, 2015). In this study, we classify the normed proper quasilinear spaces as solid-floored and non solid-floored. Thus, some properties of normed proper quasilinear spaces become more comprehensible. Also we present the counterpart of classical Riesz lemma in normed quasilinear spaces.en_US
dc.identifier.doi10.1007/s40010-017-0418-x
dc.identifier.endpage239en_US
dc.identifier.issn0369-8203
dc.identifier.issn2250-1762
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85049131748en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage231en_US
dc.identifier.urihttps://doi.org/10.1007/s40010-017-0418-x
dc.identifier.urihttps://hdl.handle.net/11616/98362
dc.identifier.volume88en_US
dc.identifier.wosWOS:000436463000009en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherNatl Acad Sciences Indiaen_US
dc.relation.ispartofProceedings of The National Academy of Sciences India Section A-Physical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectQuasilinear spacesen_US
dc.subjectFloor of an elementen_US
dc.subjectNormed proper quasilinear spacesen_US
dc.subjectSolid-floored quasilinear spacesen_US
dc.subjectRiesz lemma for normed quasilinear spacesen_US
dc.titleRiesz Lemma in Normed Quasilinear Spaces and Its an Applicationen_US
dc.typeArticleen_US

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