Statistical convergence in non-archimedean Köthe sequence spaces

Volume 23, Issue 2, pp 80--85 http://dx.doi.org/10.22436/jmcs.023.02.01

Publication Date: October 09, 2020 Submission Date: July 22, 2020 Revision Date: August 04, 2020 Accteptance Date: August 17, 2020

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Authors

D. Eunice Jemima - Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur , Chennai-603203, India. V. Srinivasan - (Retd. Professor) Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur , Chennai-603203, India.

Abstract

The aim of this paper is to examine statistical convergence in a Köthe sequence space, when the sequences have their entries in a non-archimedean field \(\mathscr{K}\) which is both non-trivial and complete under the metric induced by the valuation \(|\ .\ |:\mathscr{K}\to \left[0,\infty \right)\), which is denoted by \(\textit{K(B)}\).

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Keywords

• Köthe space
• non-archimedean field
• non-archimedean Köthe space
• statistical convergence

MSC

•  40A35
•  46E30
•  46S10

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