Chebyshev type inequalities for Hilbert space operators

DOI10.1016/j.jmaa.2014.05.078zbMath1311.47021arXiv1401.1804OpenAlexW2964265079MaRDI QIDQ2252098

Mojtaba Bakherad, Mohammad Sal Moslehian

Publication date: 16 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1804

zbMATH Keywords

Hadamard productBochner integralsingular valueoperator meanChebyshev inequalitysuper-multiplicative function

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (5)

Pompeiu-Čebyšev type inequalities for selfadjoint operators in Hilbert spaces ⋮ Unnamed Item ⋮ Norm inequalities of Čebyšev type for power series in Banach algebras ⋮ Vector-valued reproducing kernel Hilbert \(C^*\)-modules ⋮ Some new relations between the Berezin number and the Berezin norm of operators

Cites Work

• Around operator monotone functions
• A Grüss inequality for \(n\)-positive linear maps
• Means of positive linear operators
• Sharp weighted multidimensional integral inequalities of Chebyshev type
• Aczél-Chebyshev type inequality for positive linear functions
• Hadamard products and multivariate statistical analysis
• Čebyšev's type inequalities for functions of selfadjoint operators in Hilbert spaces
• Jensen's operator inequality and its converses
• A CONCEPT OF SYNCHRONICITY ASSOCIATED WITH CONVEX FUNCTIONS IN LINEAR SPACES AND APPLICATIONS
• Matrix theory. Basic results and techniques
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