Matrix inequalities related to power means of probability measures

DOI10.1080/03081087.2021.1930991OpenAlexW3164880442MaRDI QIDQ5870122

Mohsen Kian, Mohammad Sal Moslehian

Publication date: 5 January 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.1930991

zbMATH Keywords

probability measurepositive matrixmatrix meanpositive multilinear map

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (1)

Log-majorization Type Inequalities

Cites Work

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• Operator power means due to Lawson-Lim-Pálfia for \(1 < t < 2\)
• The power mean and the least squares mean of probability measures on the space of positive definite matrices
• Developed matrix inequalities via positive multilinear mappings
• Matrix power means and the information monotonicity
• Matrix power means and the Karcher mean
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Operator maps of Jensen-type
• On some inequalities for the matrix power and Karcher means
• Inequalities of the Wasserstein mean with other matrix means
• The unique solution of the Karcher equation and the self-adjointness of the Karcher mean
• Variants of Ando–Hiai inequality for operator power means

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