ON SOME CLASSICAL PROPERTIES OF NORMED SPACES VIAGENERALIZED VECTOR VALUED ALMOST CONVERGENCE

Basit Öğe Kaydı
dc.authoridKarakuş, Mahmut/0000-0002-4468-629X
dc.authorwosidKarakuş, Mahmut/HHY-8747-2022
dc.contributor.authorKarakus, Mahmut
dc.contributor.authorBasar, Feyzi
dc.date.accessioned2024-08-04T20:53:14Z
dc.date.available2024-08-04T20:53:14Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractRecently, the authors interested some new problems on multiplier spaces of Lorentz' almost convergence and f(lambda)-convergence as a generalization of almost convergence. f(lambda)-convergence is firstly introduced by Karakus and Basar, and used for some new characterizations of completeness and barrelledness of the spaces through weakly unconditionally Cauchy series in a normed space X and its continuous dual X*. In the present paper, we deal with f(lambda)-convergence to have some inclusion relations between the vector valued spaces obtained from this type convergence and corresponding classical sequence spaces, and to give new characterizations of some classical properties like completeness, reflexivity, Schur property and Grothendieck property of normed spaces. By the way, we give a characterization of finite-dimensional normed spaces.en_US
dc.identifier.doi10.1515/ms-2022-0106
dc.identifier.endpage1566en_US
dc.identifier.issn0139-9918
dc.identifier.issn1337-2211
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85143876241en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1551en_US
dc.identifier.urihttps://doi.org/10.1515/ms-2022-0106
dc.identifier.urihttps://hdl.handle.net/11616/101056
dc.identifier.volume72en_US
dc.identifier.wosWOS:000896650300013en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofMathematica Slovacaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSummability methodsen_US
dc.subjectcompletenessen_US
dc.subjectSchur and Grothendieck propertiesen_US
dc.subjectreflexivityen_US
dc.titleON SOME CLASSICAL PROPERTIES OF NORMED SPACES VIAGENERALIZED VECTOR VALUED ALMOST CONVERGENCEen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu