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On Copson Ideal Convergent Sequence Spaces

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, University Institute of Sciences,Chandigarh University,Punjab, India.

2 Department of Mathematics, Taibah University, Saudi Arabia.

3 Department of Mathematics, School of Engineering, Presidency University, Bangalore, India.

4 Department of Mathematics, Aligarh Muslim University, Aligarh, India.

5 Department of Mathematics,Faculty of Arts and Sciences, University of Petra, Amman, Jordan.

Abstract

The present work is an investigation of some new sequence spaces $c^{I}_{0}\left(C\right)$, $c^{I}\left(C\right)$, $\ell^{I}_{\infty}\left(C\right)$ and $\ell_{\infty}\left(C\right)$ as a domain of the triangle Copson matrix via ideal convergence over an admissible ideal of $\mathbb{N}$. Also, I will define some algebraic, topological properties and inclusion relations in these spaces.

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References
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Sahand Communications in Mathematical Analysis

Articles in Press, Accepted Manuscript
Available Online from 25 March 2024
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