Generalized operator version of Bernoulli’s inequality

DOI10.1080/03081087.2013.779267zbMath1303.47024OpenAlexW2025284102MaRDI QIDQ5409959

Jaspal Singh Aujla, Mandeep Singh, Rajinder Pal

Publication date: 15 April 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2013.779267

zbMATH Keywords

positive operatoroperator meancontinuous functional calculusBernoulli's inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Linear operators defined by compactness properties (47B07) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

• Eigenvalue inequalities for differences of means of Hilbert space operators
• Means of positive linear operators
• Majorizations and inequalities in matrix theory
• Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators
• Reverse Young and Heinz inequalities for matrices
• Singular value inequalities for the arithmetic, geometric and Heinz means of matrices
• Norm inequalities for weighted power means of operators

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