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Mathematics
Volume 12
Issue 18
10.3390/math12182838
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

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

by
Najla Altwaijry
1,†,
Silvestru Sever Dragomir
2,† and
Kais Feki
3,*,†
1
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
2
Applied Mathematics Research Group, ISILC, Victoria University, P.O. Box 14428, Melbourne 8001, VIC, Australia
3
Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, University of Sfax, Sfax 3018, Tunisia
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Mathematics 2024, 12(18), 2838; https://doi.org/10.3390/math12182838
Submission received: 22 August 2024 / Revised: 10 September 2024 / Accepted: 11 September 2024 / Published: 12 September 2024
(This article belongs to the Section Algebra, Geometry and Topology)
Versions Notes

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 Euclidean numerical radius; operator pairs; Hilbert spaces; Davis–Wielandt radius; numerical radius inequalities

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MDPI and ACS Style

Altwaijry, N.; Dragomir, S.S.; Feki, K. Improved Bounds for the Euclidean Numerical Radius of Operator Pairs in Hilbert Spaces. Mathematics 2024, 12, 2838. https://doi.org/10.3390/math12182838

AMA Style

Altwaijry N, Dragomir SS, Feki K. Improved Bounds for the Euclidean Numerical Radius of Operator Pairs in Hilbert Spaces. Mathematics. 2024; 12(18):2838. https://doi.org/10.3390/math12182838

Chicago/Turabian Style

Altwaijry, Najla, Silvestru Sever Dragomir, and Kais Feki. 2024. "Improved Bounds for the Euclidean Numerical Radius of Operator Pairs in Hilbert Spaces" Mathematics 12, no. 18: 2838. https://doi.org/10.3390/math12182838

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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