New upper bounds for the numerical radius of Hilbert space operators
By Pintu Bhunia, Kallol Paul. 2021
71 citations recorded by the source corpus.
Abstract In this paper we present new upper bounds for the numerical radius of bounded linear operators defined on a complex Hilbert space. Further we obtain estimations for upper bounds for the numerical radius of the sum of the product of bounded linear operators. We show that the bounds obtained here improve on the existing well-known upper bounds.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/d57b674a8563e7a90d382caf503134079a14383f
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- Development of inequalities and characterization of equality conditions for the numerical radius (2021, background): “Over the years various refinements of (1.1) have been obtained, we refer the interested readers to see [1, 4, 5, 7, 12, 13, 15] and the references therein.”