Some generalized numerical radius inequalities for Hilbert space operators

By M. Sattari, Mohammad Sal Moslehian, T. Yamazaki. 2014

92 citations recorded by the source corpus.

We generalize several inequalities involving powers of the numerical radius for product of two operators acting on a Hilbert space. For any $A, B, X\in \mathbb{B}(\mathscr{H})$ such that $A,B$ are positive, we establish some numerical radius inequalities for $A^\alpha XB^\alpha$ and $A^\alpha X B^{1-\alpha}\,\,(0 \leq \alpha \leq 1)$ and Heinz means under mild conditions.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/14e2d8729f2bca3afc97dcf61da4e791b0bc6870

Citations in the corpus

• Numerical radius inequalities and its applications in estimation of zeros of polynomials (2019, unknown): “[16].”
• Some improvements of numerical radius inequalities of operators and operator matrices (2019, unknown): “1 ([13]): Let a, b ≥ 0 and α,β > 1 be such that 1/α + 1/β = 1.”