Log majorization via an order preserving operator inequality

DOI10.1016/j.laa.2009.02.011zbMath1219.15020OpenAlexW2044888441MaRDI QIDQ1019640

Takayuki Furuta

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.02.011

zbMATH Keywords

Löwner-Heinz inequalitylog majorizationorder preserving operator inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

Comprehensive survey on an order preserving operator inequality ⋮ An extension of Furuta's log majorization inequality

Cites Work

• Means of positive linear operators
• Log majorization and complementary Golden-Thompson type inequalities
• Extension of the Furuta inequality and Ando-Hiai log-majorization
• A short proof of the best possibility for the grand Furuta inequality
• Positive definite matrices
• Further extension of an order preserving operator inequality
• Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality
• The best possibility of the grand Furuta inequality
• Mean theoretic approach to the grand Furuta inequality
• Best possibility of the Furuta inequality
• An extension of order preserving operator inequality
• $A \geq B \geq 0$ 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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