Monotonicity of order preserving operator functions

DOI10.1016/j.laa.2007.09.004zbMath1140.47008OpenAlexW1964630112MaRDI QIDQ2469534

Takayuki Furuta

Publication date: 6 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.09.004

zbMATH Keywords

Löwner-Heinz inequalityorder preserving operator inequalityorder preserving operator function

Mathematics Subject Classification ID

Linear operator inequalities (47A63)

Related Items

A complement to monotonicity of generalized Furuta-type operator functions

Cites Work

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• An elementary proof of an order preserving inequality
• Means of positive linear operators
• Simplified proof of an order preserving operator inequality
• 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
• Beiträge zur Störungstheorie der Spektralzerlegung
• Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality
• Operator functions implying generalized Furuta inequality
• A decreasing operator function associated with the Furuta inequality
• The best possibility of the grand Furuta inequality
• Mean theoretic approach to the grand Furuta inequality
• Best possibility of the Furuta inequality
• Shorter Notes: Some Operator Monotone Functions
• $A \geq B \geq 0$ 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 $(1 + 2r)q \geq p + 2r$