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Research Article | Open Access

On paranormed sequence space arising from Riesz Euler Totient matrix

Department of Mathematics, Duzce University, Duzce, Turkey
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Abstract

In this paper, we introduce a novel paranormed sequence space l ( R Φ , p ) constructed through the application of the Riesz Euler Totient matrix. We demonstrate that the spaces l ( R Φ , p ) and l ( p ) are linearly isomorphic. In addition, we identify the dual spaces associated with this sequence space and establish its Schauder basis.

Keywords

α-, β-, γ-dualsparanormed sequence spaceRiesz matrixEuler Totient function
CLC number: 46B45, 47B06, 47H08

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AIMS Mathematics
Volume 10 Issue 5,
May 2025
Pages 11260-11270
DOI: 10.3934/math.2025510

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Cite this article:
Alp PZ. On paranormed sequence space arising from Riesz Euler Totient matrix. AIMS Mathematics, 2025, 10(5): 11260-11270. https://doi.org/10.3934/math.2025510

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Received: 30 December 2024
Revised: 28 April 2025
Accepted: 06 May 2025
Published: 15 May 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)