On some matrix reverse Cauchy-Schwarz and Hölder inequalities

DOI10.1016/J.LAA.2018.04.024zbMath1391.15066OpenAlexW2800679606MaRDI QIDQ1754436

Venus Kaleibary

Publication date: 30 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.04.024

zbMATH Keywords

geometric meanHölder inequalityoperator concave functioneigenvalue inequalitydoubly concave function

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

• Generalized matrix version of reverse Hölder inequality
• A matrix reverse Hölder inequality
• A matrix reverse Cauchy-Schwarz inequality
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Jensen and Minkowski inequalities for operator means and anti-norms
• An extension of the Pólya-Szegő operator inequality
• Eigenvalue inequalities related to the Ando-Hiai inequality
• The Selfadjoint Operators of a Von Neumann Algebra Form a Conditionally Complete Lattice

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