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Further inequalities for the numerical radius of Hilbert space operators. (English) Zbl 1435.47013

The authors establish some new inequalities for the numerical radius of bounded linear operators in Hilbert spaces. Also, they provide a new estimate for the sum of two operators and they present some new inequalities for the numerical radius of Hilbert space operators via convex functions. Their results generalize and improve earlier results by M. El-Haddad and F. Kittaneh [Stud. Math. 182, No. 2, 133–140 (2007; Zbl 1130.47003)].

MSC:

47A12 Numerical range, numerical radius
47A30 Norms (inequalities, more than one norm, etc.) of linear operators
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
47A63 Linear operator inequalities

Citations:

Zbl 1130.47003
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References:

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