Title of article
On the Space of Real Valued Statistically Convergent Sequences
Author/Authors
Sohooly, Y. Islamic Azad University Shiraz Branch, Shiraz , Jahedi, Khadijeh Islamic Azad University Shiraz Branch, Shiraz , Alikhani-Koopaei, A. Pennsylvania State University, USA
Pages
12
From page
1
To page
12
Abstract
The aim of this paper is to introduce an equivalence relation on the space of real valued statistically convergence sequences, Cst, and an inner product on the set of its equivalence classes. We equip Cst with the induced J- metric, dJ , by the given inner product. We prove that Cst is a complete J-metric space. We also show that the space of all real valued convergent sequences is a dense subspace of (Cst, dJ ).
Keywords
Natural density of sets , statistically convergence , equivalence relation , quotient space
Journal title
Journal of Mathematical Extension(IJME)
Serial Year
2022
Record number
2702237
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