Improved Bounds for the Euclidean Numerical Radius of Operator Pairs in Hilbert Spaces

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Altwaijry, Najla ORCID: 0000-0001-7442-8841, Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Feki, Kais ORCID: 0000-0002-9326-4173 (2024) Improved Bounds for the Euclidean Numerical Radius of Operator Pairs in Hilbert Spaces. Mathematics, 12 (18). ISSN 2227-7390

Abstract

This paper presents new lower and upper bounds for the Euclidean numerical radius of operator pairs in Hilbert spaces, demonstrating improvements over recent results by other authors. Additionally, we derive new inequalities for the numerical radius and the Davis–Wielandt radius as natural consequences of our findings.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/49287
DOI 10.3390/math12182838
Official URL https://www.mdpi.com/2227-7390/12/18/2838
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > Division/Research > Institute for Sustainable Industries and Liveable Cities
Keywords Euclidean numerical radius; operator pairs; Hilbert spaces; Davis–Wielandt radius; numerical radius inequalities
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