Generalized matrix version of reverse Hölder inequality

DOI10.1016/j.laa.2010.09.027zbMath1223.15028OpenAlexW2090611919MaRDI QIDQ616395

Mandeep Singh, Rupinderjit Kaur, Jaspal Singh Aujla

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.09.027

zbMATH Keywords

positive definite matricespositive linear mapsconnectionmatrix meansHölder/ Cauchy-Schwarz reverse inequalityweighted geometric means

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items

Some operator inequalities via convexity ⋮ An extension for matrices of Young's inequality ⋮ A general double inequality related to operator means and positive linear maps ⋮ Developed matrix inequalities via positive multilinear mappings ⋮ On some matrix reverse Cauchy-Schwarz and Hölder inequalities ⋮ Shannon like inequalities for \(f\)-connections of positive linear maps and positive operators ⋮ Some operator Bellman type inequalities

Cites Work

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• A matrix reverse Hölder inequality
• A matrix reverse Cauchy-Schwarz inequality
• A difference counterpart to a matrix Hölder inequality
• Accretive operators and Cassels inequality
• Characterization of operations derived from network connections
• Means of positive linear operators