Some generalized numerical radius inequalities for Hilbert space operators

Mostafa Sattari,Mohammad Sal Moslehian,Takeaki Yamazaki

doi:10.1016/j.laa.2014.08.003

Some generalized numerical radius inequalities for Hilbert space operators

Mostafa Sattari, Mohammad Sal Moslehian + Show 1 more

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https://doi.org/10.1016/j.laa.2014.08.003

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Journal: Linear Algebra and Its Applications	Publication Date: Aug 22, 2014
Citations: 48	License type: elsevier-specific: oa user license

Affiliation: Ferdowsi University of Mashhad, Toyo University

#Heinz Means #Numerical Radius + Show 6 more

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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∈B(H) such that A,B are positive, we establish some numerical radius inequalities for AαXBα and AαXB1−α (0≤α≤1) and Heinz means under mild conditions.

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