Elementary proof of Petz-Hasegawa theorem

DOI10.1007/s11005-012-0568-3zbMath1308.47021OpenAlexW1965746321MaRDI QIDQ692862

Takayuki Furuta

Publication date: 6 December 2012

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-012-0568-3

zbMATH Keywords

operator monotone functionLöwner-Heinz inequalityPetz-Hasegawa theorem

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Monotonic functions, generalizations (26A48)

Related Items (1)

Upper and lower bounds, and operator monotonicity of an extension of the Petz-Hasegawa function

Cites Work

• Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation
• On the Riemannian metric of \(\alpha\)-entropies of density matrices
• Metric-adjusted skew information: convexity and restricted forms of superadditivity

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