Advanced Refinements of Numerical Radius Inequalities

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Pouladi Najafabadi F.; MORADI H.R.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2021 | Volume:11 | Issue:4 Page(s): 0-0

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Title

Advanced Refinements of Numerical Radius Inequalities

Author(s)

Pouladi Najafabadi F. | MORADI H.R. | Issue Writer Certificate

Keywords

Numerical radius

Operator norm

Inequality

Positive operator

Abstract

By taking into account that the computation of the Numerical radius is an optimization problem, we prove, in this paper, several refinements of the Numerical radius inequalities for Hilbert space operators. It is shown, among other inequalities, that if A is a bounded linear operator on a complex Hilbert space, then ω,(A) ≤,1 2 r |A|2 + |A∗, |2 + ∥, |A| |A∗, | + |A∗, | |A|∥, , where ω,(A), ∥, A∥, , and |A| are the Numerical radius, the usual Operator norm, and the absolute value of A, respectively. This Inequality provides a refinement of an earlier Numerical radius Inequality due to Kittaneh, namely, ω,(A) ≤,1 2 ,∥, A∥,+ A2 12 , . Some related inequalities are also discussed.

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APA: Copy

Pouladi Najafabadi, F., & MORADI, H.R.. (2021). Advanced Refinements of Numerical Radius Inequalities. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 11(4), 0-0. SID. https://sid.ir/paper/1001532/en

Vancouver: Copy

Pouladi Najafabadi F., MORADI H.R.. Advanced Refinements of Numerical Radius Inequalities. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2021;11(4):0-0. Available from: https://sid.ir/paper/1001532/en

IEEE: Copy

F. Pouladi Najafabadi, and H.R. MORADI, “Advanced Refinements of Numerical Radius Inequalities,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 11, no. 4, pp. 0–0, 2021, [Online]. Available: https://sid.ir/paper/1001532/en

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