Operator inequalities related to Young's inequality

DOI10.1007/s43036-022-00220-2zbMath1504.47036OpenAlexW4296967417MaRDI QIDQ2676721

Masayuki Watanabe, Eizaburo Kamei, Hiroaki Tohyama

Publication date: 28 September 2022

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-022-00220-2

zbMATH Keywords

Young's inequalityrelative operator entropyTsallis relative operator entropy\(n\)-th generalized relative operator entropyoperator-valued \(\alpha\)-divergence

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Measures of information, entropy (94A17)

Related Items

An extension for matrices of Young's inequality

Cites Work

• A refinement of Young's inequality
• Means of positive linear operators
• Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators.
• Generalized Shannon inequalities based on Tsallis relative operator entropy
• Refined Young inequalities with Specht's ratio
• The \(n\)-th relative operator entropies and the \(n\)-th operator divergences
• Comparison of operator mean geodesics
• Improved arithmetic-geometric mean inequality and its application
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