The converse of the Loewner–Heinz inequality via perspective

DOI10.1080/03081087.2017.1295432zbMath1502.47024OpenAlexW2590191113MaRDI QIDQ4640063

Moosa Shamohammadi, Ismail Nikoufar

Publication date: 16 May 2018

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1295432

zbMATH Keywords

operator monotone functionoperator meanLoewner-Heinz inequalityperspective function

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60)

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Cites Work

• Non-commutative perspectives
• Means of positive linear operators
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• The simplest proof of Lieb concavity theorem
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• Notes on some inequalities for linear operators
• A matrix convexity approach to some celebrated quantum inequalities
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• Different quantum f-divergences and the reversibility of quantum operations
• A Converse of the Loewner–Heinz Inequality, Geometric Mean and Spectral Order
• Shorter Notes: Some Operator Monotone Functions