A difference counterpart to a matrix Hölder inequality

DOI10.1016/j.laa.2009.12.002zbMath1189.15028OpenAlexW2004224140MaRDI QIDQ962086

Yuki Seo, Eun-Young Lee, Masatoshi Fujii

Publication date: 6 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.002

zbMATH Keywords

geometric meanpositive linear mapsLöwner partial orderingCauchy-Schwarz inequalityHermitian positive definite matricesrelative operator entropyreverse inequalitiesSpecht ratiomatrix Hölder inequality

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) Means (26E60)

Related Items

Reverses of Ando's and Hölder-McCarty's inequalities ⋮ Extension of Hu Ke's inequality and its applications ⋮ Generalized matrix version of reverse Hölder inequality ⋮ Generalizations of refined Hölder's inequalities and their applications ⋮ Reversed version of a generalized sharp Hölder's inequality and its applications

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