Another consequence of Tanahashi's argument on best possibility of the grand Furuta inequality

DOI10.2478/s11533-012-0061-3zbMath1269.47016OpenAlexW2006298779MaRDI QIDQ1935621

Keiichi Watanabe, Tatsuya Koizumi

Publication date: 18 February 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0061-3

zbMATH Keywords

Furuta inequalityLöwner-Heinz inequalityorder preserving operator inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63)

Related Items (2)

Comprehensive survey on an order preserving operator inequality ⋮ On the range of the parameters for the grand Furuta inequality to be valid

Cites Work

• 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
• Beiträge zur Störungstheorie der Spektralzerlegung
• Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality
• The best possibility of the grand Furuta inequality
• Best possibility of the 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 $(1 + 2r)q \geq p + 2r$

This page was built for publication: Another consequence of Tanahashi's argument on best possibility of the grand Furuta inequality