SUBADDITIVITY OF AN INTEGRAL TRANSFORM FOR POSITIVE OPERATORS IN HILBERT SPACES

DOI10.1017/s0004972722001162OpenAlexW4308589395MaRDI QIDQ6135517

Sever Silvestru Dragomir

Publication date: 25 August 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722001162

zbMATH Keywords

operator monotone functionLöwner-Heinz inequalityoperator inequalitiesoperator convex functionlogarithmic operator inequalities

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functional calculus for linear operators (47A60)

Cites Work

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• Around operator monotone functions
• An extension of the Löwner-Heinz inequality
• Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation
• Precise lower bound of f(A)-f(B) for A>B>0 and non-constant operator monotone function f on [0,∞)

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