Extensions of inequalities for unitarily invariant norms via log majorization

DOI10.1016/J.LAA.2011.12.017zbMath1256.47018OpenAlexW1988793442MaRDI QIDQ417482

Takayuki Furuta

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.12.017

zbMATH Keywords

unitarily invariant normlog majorizationorder preserving operator inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (4)

Log-majorization Type Inequalities ⋮ A generalized Matharu-Aujla inequality ⋮ New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality ⋮ Some log-majorizations and an extension of a determinantal inequality

Cites Work

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• On an inequality of Lieb and Thirring
• Log majorization and complementary Golden-Thompson type inequalities
• Extension of the Furuta inequality and Ando-Hiai log-majorization
• Beiträge zur Störungstheorie der Spektralzerlegung
• Some inequalities for operator means and Hadamard product
• Matrix versions of Young's inequality
• The best possibility of the grand Furuta inequality
• Mean theoretic approach to the grand Furuta 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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