On \(\mathcal I\) and \(\mathcal I^*\)-equal convergence in linear 2-normed spaces

Amar Kumar Banerjee; Nesar Hossain

doi:10.26637/mjm1102/004

Abstract

In this paper we study the notion of \(\mathcal{I}\) and \(\mathcal{I^*}\)-equal convergence in linear 2-normed spaces and some of their properties. We also establish the relationship between them.

Keywords:

Ideal, \(\mathcal{I}\)-equal convergence , linear 2-normed spaces , \(\mathcal{I^*}\)-equal convergence , condition \((AP)\)

Mathematics Subject Classification:

Ideal and statistical convergence, Convergence and divergence of series and sequences of functions, Convergence and divergence of series and sequences, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)

Author Biography

Nesar Hossain, Department of Mathematics, The University of Burdwan, Golapbag, Burdwan - 713104, West Bengal, India.

Nesar Hossain,
Senior Research Fellow (CSIR)
Department of Mathematics,
The University of Burdwan,
Golapbag, Burdwan - 713104, West Bengal, India.

Authors Imprint References Funding Related Articles Downloads

Amar Kumar Banerjee Department of Mathematics, The University of Burdwan, Golapbag, Burdwan - 713104, West Bengal, India. https://orcid.org/0000-0002-8054-8935
Nesar Hossain Department of Mathematics, The University of Burdwan, Golapbag, Burdwan - 713104, West Bengal, India. https://orcid.org/0000-0002-2205-3344

Pages: 151-157
Date Published: 01-04-2023
Vol. 11 No. 02 (2023): Malaya Journal of Matematik (MJM)

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