New Bounds for the Euclidean Numerical Radius of Two Operators in Hilbert Spaces

This paper presents new weighted lower and upper bounds for the Euclidean numerical radius of pairs of operators in Hilbert spaces. We show that some of these bounds improve on recent results in the literature. We also find new inequalities for the numerical radius and the Davis–Wielandt radius. The lower and upper bounds we obtain are not symmetrical.

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Publication Details

Journal
Symmetry
Published
2024-12-24
DOI
https://doi.org/10.3390/sym17010007
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

New Bounds for the Euclidean Numerical Radius of Two Operators in Hilbert Spaces

Kais Feki, Sever S Dragomir, Najla Altwaijry, Shigeru Furuichi
Symmetry
Mathematical Inequalities and Applications
article

New Bounds for the Euclidean Numerical Radius of Two Operators in Hilbert Spaces

Kais Feki, Sever S Dragomir, Najla Altwaijry, Shigeru Furuichi
article en

Abstract

This paper presents new weighted lower and upper bounds for the Euclidean numerical radius of pairs of operators in Hilbert spaces. We show that some of these bounds improve on recent results in the literature. We also find new inequalities for the numerical radius and the Davis–Wielandt radius. The lower and upper bounds we obtain are not symmetrical.

SymmetryVol. 17(1)
Nihon University (JP), University of Sfax (TN), King Saud University (SA), Victoria University (AU), RMIT University (AU), Saveetha University (IN)
King Saud University
Reduced inequalities
Openalex Percentile: Top 61%
Mathematical Inequalities and Applications
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