Some improvements of numerical radius inequalities of operators and operator matrices
By Pintu Bhunia, Kallol Paul. Linear and multilinear algebra, 2019
71 citations recorded by the source corpus.
We obtain upper bounds for the numerical radius of a product of Hilbert space operators which improve on the existing upper bounds. We generalize the numerical radius inequalities of operator matrices by using non-negative continuous functions on . We also obtain some upper and lower bounds for the B-numerical radius of operator matrices, where B is the diagonal operator matrix whose each diagonal entry is a positive operator A. We show that these bounds generalize and improve on the existing bounds.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/9d6618e1f5905e24a367153800cf560d6051b5fc
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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.”
- A-Numerical Radius Orthogonality and Parallelism of Semi-Hilbertian Space Operators and Their Applications (2020, unknown): “One may see [7, 8, 10, 11, 17, 22].”