Bounds of numerical radius of bounded linear operators using t-Aluthge transform
By Santanu Bag, Pintu Bhunia, Kallol Paul. Mathematical Inequalities & Applications, 2019
48 citations recorded by the source corpus.
In this article we develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of $t$-Aluthge transform. We prove that the bounds obtained are better than the existing bounds.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/b5e90e2d47a9570eb78cd774f46b75f1d8617951
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In Applied Mathematics
In Computational Theory and Mathematics
In Numerical Analysis
Citations in the corpus
- Proper Improvement of Well-Known Numerical Radius Inequalities and Their Applications (2020, background): “f. Kallol Paul would like to thank RUSA 2.0, Jadavpur University for the partial support. 1 2 P.BHUNIAANDK.PAUL have been obtained to improve on the inequality (1.1). Interested readers can look into [1, 3, 4, 5, 10, 11] and the references therein for more information on recent advances in numerical”
- Development of inequalities and characterization of equality conditions for the numerical radius (2021, background): “Bag et al. [3, Th. 8] obtained that the following inequality: (2.5) (cid:13)(cid:13)(cid:13) (cid:13)(cid:13)(cid:13) Clearly, Theorem 2.18 improves on both the inequalities (2.4) and (2.5).”
- Some improvements of numerical radius inequalities of operators and operator matrices (2019, background): “Various numerical radius inequalities improving this inequality have been given in [3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 20, 21, 22].”