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

Najla Altwaijry, Silvestru Sever Dragomir and Kais Feki ()
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Najla Altwaijry: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Silvestru Sever Dragomir: Applied Mathematics Research Group, ISILC, Victoria University, P.O. Box 14428, Melbourne, VIC 8001, Australia
Kais Feki: Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, University of Sfax, Sfax 3018, Tunisia

Mathematics, 2024, vol. 12, issue 18, 1-23

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.

Keywords: Euclidean numerical radius; operator pairs; Hilbert spaces; Davis–Wielandt radius; numerical radius inequalities (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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