On variance and covariance for bounded linear operators

DOI10.1007/S101140100133zbMath1005.47020OpenAlexW2052769807MaRDI QIDQ5958936

Chia-Shiang Lin

Publication date: 12 February 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140100133

zbMATH Keywords

Bernstein inequalityvariancecovarianceCauchy-Shwanz inequalityHeinz-Kato-Furuta inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Numerical solutions to equations with linear operators (65J10)

Related Items (1)

A treatment of the Cauchy-Schwarz inequality in \(C^{*}\)-modules

Cites Work

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• Operator versions of inequalities and equalities on a Hilbert space
• Covariance in Bernstein's inequality for operators
• An Inequality for Some Nonnormal Operators
• Shorter Notes: A Simplified Proof of Heinz Inequality and Scrutiny of its Equality
• An Inequality for Selfadjoint Operators on a Hilbert Space
• An Inequality for some Nonnormal Operators--Extension to Normal Approximate Eigenvalues
• Heinz’s inequality and Bernstein’s inequality
• Inequalities of Reid type and Furuta

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