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Covariance in Bernstein's inequality for operators
FUJII, MASATOSHI +2 more
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Relations among operator orders and operator inequalities (Recent Topics on Operator inequalities)
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Logarithmic trace inequalities (Role of Operator Inequalities in Operator Theory)
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Operator valued inequalities based on Young’s inequality
Advances in Operator Theory, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hiroaki Tohyama, Eizaburo Kamei
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Operator inequalities related to Young’s inequality
Advances in Operator Theory, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tohyama, Hiroaki +2 more
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Complex Analysis and Operator Theory, 2023
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Hussain, Imtiaz, Liman, A.
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Hussain, Imtiaz, Liman, A.
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Operator Inequalities Reverse to the Jensen Inequality
Mathematical Notes, 2001The paper obtains reverse operator inequalities of Jensen's one as follows: Suppose that \(H\) is a Hilbert space, \(A_{i}=A_{i}^{*}\in B(H)\), \(1\leq i\leq n\), and \(aI\leq A_{i}\leq bI\) for \(i\in\{1,\cdots, n\}\). Further, suppose that \(R_{i}\in B(H)\) are arbitrary operators satisfying the condition \(\sum_{i=1}^{n} R_{i}^{*}R_{i}=I\). If \(f\)
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On the \(h\)-Jensen's operator inequality
2022Summary: In this paper, we prove Jensen's operator inequality for an \(h\)-convex function and we point out the results for classes of continuous fields of operators. Also, some generalizations of Jensen's operator inequality and some properties of the \(h\)-convex function are given.
Hashemi Karouei, S. S. +3 more
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