Numerical radius inequalities for Hilbert space operators. II

Mohammad El-Haddad; Fuad Kittaneh

Displaying similar documents to “Numerical radius inequalities for Hilbert space operators. II”

Numerical radius inequalities for Hilbert space operators

Fuad Kittaneh (2005)

Studia Mathematica

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It is shown that if A is a bounded linear operator on a complex Hilbert space, then 1/4 ||A*A + AA*|| ≤ (w(A))² ≤ 1/2 ||A*A + AA*||, where w(·) and ||·|| are the numerical radius and the usual operator norm, respectively. These inequalities lead to a considerable improvement of the well known inequalities 1/2 ||A|| ≤ w(A) ≤ || A||. Numerical radius inequalities for products and commutators of operators are also obtained. ...

Numerical radius and operator norm inequalities.

Shebrawi, Khalid, Albadawi, Hussien (2009)

Journal of Inequalities and Applications [electronic only]

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Numerical radius inequalities for 2 × 2 operator matrices

Omar Hirzallah, Fuad Kittaneh, Khalid Shebrawi (2012)

Studia Mathematica

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We derive several numerical radius inequalities for 2 × 2 operator matrices. Numerical radius inequalities for sums and products of operators are given. Applications of our inequalities are also provided.

On difference inequalities corresponding to partial differential inequalities of the first order

A. Pliś (1968)

Annales Polonici Mathematici

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Some inequalities of the Grüss type for the numerical radius of bounded linear operators in Hilbert spaces.

Dragomir, S.S. (2008)

Journal of Inequalities and Applications [electronic only]

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A convex treatment of numerical radius inequalities

Zahra Heydarbeygi, Mohammad Sababheh, Hamid Moradi (2022)

Czechoslovak Mathematical Journal

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We prove an inner product inequality for Hilbert space operators. This inequality will be utilized to present a general numerical radius inequality using convex functions. Applications of the new results include obtaining new forms that generalize and extend some well known results in the literature, with an application to the newly defined generalized numerical radius. We emphasize that the approach followed in this article is different from the approaches used in the literature to...