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Further Inequalities for the Weighted Numerical Radius of Operators

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.)

  • Kais Feki

    (Faculty of Economic Sciences and Management of Mahdia, University of Monastir, Mahdia 5111, Tunisia
    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.)

  • Nicuşor Minculete

    (Department of Mathematics and Computer Science, Transilvania University of Brasov, 500091 Brasov, Romania
    These authors contributed equally to this work.)

Abstract

This paper deals with the so-called A -numerical radius associated with a positive (semi-definite) bounded linear operator A acting on a complex Hilbert space H . Several new inequalities involving this concept are established. In particular, we prove several estimates for 2 × 2 operator matrices whose entries are A -bounded operators. Some of the obtained results cover and extend well-known recent results due to Bani-Domi and Kittaneh. In addition, several improvements of the generalized Kittaneh estimates are obtained. The inequalities given by Feki in his work represent a generalization of the inequalities given by Kittaneh. Some refinements of the inequalities due to Feki are also presented.

Suggested Citation

  • Najla Altwaijry & Kais Feki & Nicuşor Minculete, 2022. "Further Inequalities for the Weighted Numerical Radius of Operators," Mathematics, MDPI, vol. 10(19), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3576-:d:930476
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