Chebyshev and Grüss inequalities for real rectangular matrices

DOI10.1016/J.LAA.2013.03.003zbMath1291.15054OpenAlexW2029294581MaRDI QIDQ2451656

Joel E. Cohen

Publication date: 4 June 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2013.03.003

zbMATH Keywords

spectral radiusnonnegative matrixGrüss inequalityChebyshev inequalitylinear orderingreal matrixquadratic ordering

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

Norm inequalities of Čebyšev type for power series in Banach algebras

Cites Work

• A Grüss inequality for \(n\)-positive linear maps
• Combined dynamic Grüss inequalities on time scales
• Matrix versions of some classical inequalities
• A matrix formulation of Grüss inequality
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