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arXiv · 1409.0321

Some generalized numerical radius inequalities for Hilbert space operators

Mostafa Sattari·Mohammad Sal Moslehian·Takeaki Yamazaki
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Abstract

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.

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Mostafa Sattari, Mohammad Sal Moslehian, Takeaki Yamazaki. 2014-09-01. Some generalized numerical radius inequalities for Hilbert space operators. https://arxiv.org/abs/1409.0321

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