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Generalized numerical radius inequalities of operators in Hilbert spaces

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Abstract

This paper is concerned with linear operators on a complex Hilbert space \(\mathcal {H}\), which are bounded with respect to the seminorm induced by a positive operator A on \(\mathcal {H}\). In particular, several inequalities involving the A-numerical radius of operators are established.

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Acknowledgements

The author would like to express his gratitude to the referees for their insightful suggestions which helped to improve this article. The author would also like to thank Dr. Cristian Conde (Universidad Nacional de General Sarmiento and CONICET, Argentina) for useful private communications which helped to prepare the revised version of this paper.

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Authors and Affiliations

  1. Faculty of Economic Sciences and Management of Mahdia, University of Monastir, Monastir, Tunisia

    Kais Feki

  2. Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Department of Mathematics, University of Sfax, Faculty of Sciences of Sfax, Soukra Road, km 3.5, BP 1171, 3018, Sfax, Tunisia

    Kais Feki

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  1. Kais Feki
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Correspondence to Kais Feki.

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Communicated by Miguel Martin.

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Feki, K. Generalized numerical radius inequalities of operators in Hilbert spaces. Adv. Oper. Theory 6, 6 (2021). https://doi.org/10.1007/s43036-020-00099-x

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  • DOI: https://doi.org/10.1007/s43036-020-00099-x

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