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On some numerical radius inequalities for normal operators in Hilbert spaces

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Abstract Let T be a normal bounded operator on a Hilbert space and let ω(T) denote the numerical radius of T. In this paper, we give new inequalities numerical radius… Click to show full abstract

Abstract Let T be a normal bounded operator on a Hilbert space and let ω(T) denote the numerical radius of T. In this paper, we give new inequalities numerical radius of normal operatos on a Hilbert space, one of these inequalties we prove that where T = T 1 + iT 2 the Cartesian decomposition of T and . Moreover, some other related results are also obtained.

Keywords: normal operators; numerical radius; radius inequalities; operators hilbert; inequalities normal; hilbert spaces

Journal Title: Journal of Interdisciplinary Mathematics
Year Published: 2021

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