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Research Article | Open Access

Further norm and numerical radii inequalities for operators involving a positive operator

Najla Altwaijry1( ), Cristian Conde2, Silvestru Sever Dragomir3, Kais Feki4
Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
Consejo Nacional de Investigaciones Científicas y Técnicas, (1425) Buenos Aires, Argentina & Instituto de Ciencias, Universidad Nacional de Gral. Sarmiento, J. M. Gutierrez 1150, (B1613GSX) Los Polvorines, Argentina
Applied Mathematics Research Group, ISILC, Victoria University, P. O. Box 14428, Melbourne City, MC 8001, Victoria, Australia & Mathematical Sciences, School of Science, RMIT University, GPO Box 2476V, Melbourne, Victoria 3001, Australia
University of Sfax, Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, Sfax 3018, Tunisia
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Abstract

The article examines inequalities for norms and numerical radii of bounded linear operators on complex Hilbert spaces. It focuses on scenarios where three operators are involved, with one being positive, and investigates their sums or products. Some of our findings extend existing inequalities established in the literature.

Keywords

positive operatorHilbert spacenumerical radiusoperator norminequalities
CLC number: 15A60, 46C50, 47A12, 47A30, 47A63

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AIMS Mathematics
Volume 10 Issue 2,
February 2025
Pages 2684-2696
DOI: 10.3934/math.2025126

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Cite this article:
Altwaijry N, Conde C, Dragomir SS, et al. Further norm and numerical radii inequalities for operators involving a positive operator. AIMS Mathematics, 2025, 10(2): 2684-2696. https://doi.org/10.3934/math.2025126

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Received: 21 November 2024
Revised: 22 January 2025
Accepted: 07 February 2025
Published: 15 February 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)