Mohammad Sababheh, Dragan S. Djordjević, Hamid Reza Moradi
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Numerical Radius and Norm Bounds via the Moore-Penrose Inverse
This paper presents some inner product inequalities for Hilbert space operators having closed ranges. The obtained results are applied to obtain new bounds for the numerical radius and the operator norm, where the Moore-Penrose inverse plays a keen role.
期刊介绍:
Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.