Spaces of vector sequences defined by the f-statistical convergence and some characterizations of normed spaces

Kama, Ramazan2024-12-242024-12-2420201578-73031579-1505https://doi.org/10.1007/s13398-020-00806-6https://hdl.handle.net/20.500.12604/6239In this paper, we introduce the spaces of vector valued sequences defined by f-statistical convergence and f-statistical summability. We give some topological properties of these spaces. Also, we characterize the Schur property, the Grothendieck property and reflexivity of a normed space in terms of f-statistical convergence.eninfo:eu-repo/semantics/closedAccessSpace of vector sequenceStatistical convergenceModuliCompletenessSpaces of vector sequences defined by the f-statistical convergence and some characterizations of normed spacesArticle1142Q1WOS:000520178500001Q12-s2.0-8507826379510.1007/s13398-020-00806-6