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arXiv · 1811.08025

Some Numerical radius inequalities

Mohammad W. Alomari
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Abstract

In this work, a pre-Gr\"{u}ss inequality for positive Hilbert space operators is proved. So that, some numerical radius inequalities are proved. On the other hand, based on a non-commutative Binomial formula, a non-commutative upper bound for the numerical radius of the summand of two bounded linear Hilbert space operators is proved. A commutative version is also obtained as well.

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Mohammad W. Alomari. 2018-11-19. Some Numerical radius inequalities. https://arxiv.org/abs/1811.08025

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