In-betweenness, a geometrical monotonicity property for operator means

DOI10.1016/j.laa.2011.02.051zbMath1272.47029arXiv1011.6313OpenAlexW1965111853MaRDI QIDQ1940326

Koenraad M. R. Audenaert

Publication date: 6 March 2013

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

Full work available at URL: https://arxiv.org/abs/1011.6313

zbMATH Keywords

monotonicitytraceanglepower meansKubo-Ando meansHeinz meansin-betweenness

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Operator means involving linear operators, shorted linear operators, etc. (47A64)

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On the monotonicity of weighted power means for matrices, Some geometric properties of matrix means with respect to different metrics, The matrix Heinz mean and related divergence, Near order and metric-like functions on the cone of positive definite matrices, Unnamed Item, A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means, Unnamed Item, f-Divergence functional of operator log-convex functions, The \(\alpha\)-\(z\)-Bures Wasserstein divergence, Geodesic in-betweenness for means of several matrices, Unnamed Item, Weighted Hellinger distance and in-betweenness property, Generalized Hellinger metric and Audenaert's in-betweenness, On a metric topology on the set of bivariate means

Cites Work

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