The Riemannian mean and matrix inequalities related to the Ando-Hiai inequality and chaotic order

DOI10.7153/oam-06-39zbMath1477.15018OpenAlexW2315622757WikidataQ115157732 ScholiaQ115157732MaRDI QIDQ2914875

Publication date: 21 September 2012

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-06-39

zbMATH Keywords

positive definite matrices Riemannian manifold operator inequality matrix inequality arithmetic-geometric mean inequality chaotic order Ando-Hiai inequality Riemannian mean

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)

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