Titlebook: Lectures on Numerical Radius Inequalities; Pintu Bhunia,Silvestru Sever Dragomir,Kallol Paul Book 2022 The Editor(s) (if applicable) and T

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Pintu Bhunia,Silvestru Sever Dragomir,Mohammad Sal Moslehian,Kallol Paul

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Book 2022 spaces. The study of numerical range and numerical radius has a long and distinguished history starting from the Rayleigh quotients used in the 19th century to nowadays applications in quantum information theory and quantum computing..This monograph is intended for use by both researchers and gradu

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978-3-031-13672-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Lectures on Numerical Radius Inequalities978-3-031-13670-2Series ISSN 2363-6149 Series E-ISSN 2363-6157

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Fundamental Numerical Radius Inequalities,erator . on a complex Hilbert space ., to be denoted by .(.),  is defined as the range of the continuous mapping . defined on the unit sphere of the Hilbert space ., that is, The study of numerical range assists in understanding the behavior of a bounded linear operator.

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,Bounds of the Numerical Radius Using Buzano’s Inequality,sky–Schwarz inequality. The elementary form of Cauchy–Schwarz inequality states that if . and . are real numbers, then .Its general form in an inner-product space is (.). The Cauchy–Schwarz inequality was wonderfully refined in 1971 by Buzano [49].

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