Introducing Statistical Operators: Boundedness, Continuity, and Compactness

Basit Öğe Kaydı
dc.contributor.authorBayram, E.
dc.contributor.authorKucukaslan, M.
dc.contributor.authorEt, E.
dc.contributor.authorAydin, A.
dc.date.accessioned2024-10-29T17:58:46Z
dc.date.available2024-10-29T17:58:46Z
dc.date.issued2024
dc.departmentTekirdağ Namık Kemal Üniversitesi
dc.description.abstractMany studies have been conducted on statistical convergence, which remains an area of active research. Since its introduction, statistical convergence has found applications in many fields. Nevertheless, there is a shortage of studies related to operator theory; especially of those on continuous, bounded, and compact operators. We explore the notions of statistical boundedness, continuity, and compactness of operators between normed spaces, establishing connections between these concepts and their counterparts in the traditional normed space theory. Additionally, we provide some examples and results that demonstrate the behavior and implications of statistical convergence in operator theory.
dc.identifier.doi10.1134/S0037446624050215
dc.identifier.endpage1226
dc.identifier.issn0037-4466
dc.identifier.issn1573-9260
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85204890669
dc.identifier.scopusqualityQ2
dc.identifier.startpage1214
dc.identifier.urihttps://doi.org/10.1134/S0037446624050215
dc.identifier.urihttps://hdl.handle.net/20.500.11776/14489
dc.identifier.volume65
dc.identifier.wosWOS:001320442300016
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMaik Nauka/Interperiodica/Springer
dc.relation.ispartofSiberian Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectstatistical convergence
dc.subjectstatistically bounded operator
dc.subjectstatistically continuous operator
dc.subjectstatistically compact operator
dc.subject517.982
dc.titleIntroducing Statistical Operators: Boundedness, Continuity, and Compactness
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu