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Some general quadratic numerical radius inequalities for the off-diagonal parts of $2 ⨉ 2$ block operator matrices

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In this paper, the elementary properties for the quadratic numerical radius are introduced. Furthermore, some general quadratic numerical radius inequalities for the off-diagonal parts of 2 2 block operator matrices are studied. These inequalities are based on the generalized mixed Schwarz inequality, Young inequality and Jensen inequality.

Sujets associés

Matrix Theory and AlgorithmsHolomorphic and Operator TheoryMathematical Inequalities and Applications

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