Indefinite matrix inequalities via matrix means

DOI10.1016/j.bulsci.2021.103036zbMath1494.47025OpenAlexW3186574751MaRDI QIDQ2046122

Jagjit Singh Matharu, Mohammad Sal Moslehian, Chitra Malhotra

Publication date: 17 August 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2021.103036

zbMATH Keywords

indefinite inner productmatrix meanmatrix monotone function\(J\)-selfadjoint matrix

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

Log-majorization Type Inequalities

Cites Work

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• Means of positive linear operators
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• $A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$

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