Weighted Hellinger distance and in-betweenness property

DOI10.7153/mia-2021-24-11OpenAlexW3135894041MaRDI QIDQ4991563

Lê Công-Trình, Trung Dung Vuong, Dinh Trung Hoa, Bich-Khue T. Vo

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-11

zbMATH Keywords

monotonicityin-betweenness propertyin-sphere propertyweighted Hellinger distancealpha procrustes distance

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (2)

The matrix Heinz mean and related divergence ⋮ The \(\alpha\)-\(z\)-Bures Wasserstein divergence

Cites Work

• Some norm inequalities for matrix means
• Some geometric properties of matrix means with respect to different metrics
• On characterization of operator monotone functions
• Means of positive linear operators
• In-betweenness, a geometrical monotonicity property for operator means
• Inequalities for the Wasserstein mean of positive definite matrices
• Non-linear interpolation of the harmonic-geometric-arithmetic matrix means
• A unified formulation for the Bures-Wasserstein and log-Euclidean/log-Hilbert-Schmidt distances between positive definite operators
• On the Bures-Wasserstein distance between positive definite matrices
• On the monotonicity of weighted power means for matrices
• Inequalities between means of positive operators
• Strong convexity of sandwiched entropies and related optimization problems
• Geometric Measures of Quantum Correlations with Bures and Hellinger Distances
• In-sphere property and reverse inequalities for matrix means

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