On inequalities for A-numerical radius of operators

By Pintu Bhunia, Kallol Paul, R. Nayak. 2019

60 citations recorded by the source corpus.

Let $A$ be a positive operator on a complex Hilbert space $\mathcal{H}.$ We present inequalities concerning upper and lower bounds for $A$-numerical radius of operators, which improve on and generalize the existing ones, studied recently in [A. Zamani, A-Numerical radius inequalities for semi-Hilbertian space operators, Linear Algebra Appl. 578 (2019) 159-183]. We also obtain some inequalities for $B$-numerical radius of $2\times 2$ operator matrices where $B$ is the $2\times 2$ diagonal operator matrix whose diagonal entries are $A$. Further we obtain upper bounds for $A$-numerical radius for product of operators which improve on the existing bounds.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/728a02f847fa934030f3299d8c634e157a6b5781

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Pintu Bhunia
2. Kallol Paul
3. Kais Feki

In Computational Theory and Mathematics

1. Pintu Bhunia
2. Kallol Paul
3. Kais Feki

Citations in the corpus

• A-Numerical Radius Orthogonality and Parallelism of Semi-Hilbertian Space Operators and Their Applications (2020, background): “Several results covering some classes of operators on a Hilbert space H were extended when an additional semiinner product defined by A ∈ B(H)+ is considered, one may see [4,6,7,11,18,20,23].”
• Some improvements of numerical radius inequalities of operators and operator matrices (2019, background): “To do so we need the following two lemmas, the proof of which can be found in [8].”