A converse of Loewner-Heinz inequality and applications to operator means

DOI10.1016/j.jmaa.2013.11.055zbMath1322.47027OpenAlexW2071568849MaRDI QIDQ2019243

Takeaki Yamazaki, Mitsuru Uchiyama

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.11.055

zbMATH Keywords

operator monotone functiongeometric meanpower meanoperator meanKarcher meanAndo-Hiai inequalityoperator concave functionpositive definite operatorsLoewner-Heinz inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functional calculus for linear operators (47A60) Positive linear operators and order-bounded operators (47B65)

Related Items

Furuta type inequalities via operator means and applications to Kadison's type inequalities ⋮ Equivalence relations among inequalities for some relative operator entropies ⋮ The converse of the Loewner–Heinz inequality via perspective

Cites Work

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