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

Author

Listed:
  • Najla Altwaijry

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
    These authors contributed equally to this work.)

  • Silvestru Sever Dragomir

    (Applied Mathematics Research Group, ISILC, Victoria University, P.O. Box 14428, Melbourne, VIC 8001, Australia
    These authors contributed equally to this work.)

  • Kais Feki

    (Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, University of Sfax, Sfax 3018, Tunisia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Najla Altwaijry & Silvestru Sever Dragomir & Kais Feki, 2024. "Improved Bounds for the Euclidean Numerical Radius of Operator Pairs in Hilbert Spaces," Mathematics, MDPI, vol. 12(18), pages 1-23, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:18:p:2838-:d:1477041
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