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A numerical radius inequality involving the generalized Aluthge transform

Amer Abu Omar; Fuad Kittaneh — 2013

Studia Mathematica

A spectral radius inequality is given. An application of this inequality to prove a numerical radius inequality that involves the generalized Aluthge transform is also provided. Our results improve earlier results by Kittaneh and Yamazaki.

Notes on some spectral radius and numerical radius inequalities

Amer Abu-Omar; Fuad Kittaneh — 2015

Studia Mathematica

We prove numerical radius inequalities for products, commutators, anticommutators, and sums of Hilbert space operators. A spectral radius inequality for sums of commuting operators is also given. Our results improve earlier well-known results.

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