A characterisation of anti-Löwner functions

DOI10.1090/S0002-9939-2011-10935-3zbMath1298.15030arXiv1008.2943OpenAlexW1972668620MaRDI QIDQ3103890

Koenraad M. R. Audenaert

Publication date: 13 December 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2943

zbMATH Keywords

Lyapunov equationmatrix monotone functionLöwner matrixanti-Löwner functionanti-Löwner matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Monotonic functions, generalizations (26A48)

Related Items

Positivity around Cauchy matrices, Some results on Kwong functions and related inequalities, Some matrix inequalities related to Kwong functions, Zhan's inequality on A-G mean inequalities, Some generalized numerical radius inequalities involving Kwong functions, Conditional negativity of Kwong matrices II, Conditional negativity of anti-Loewner matrices

Cites Work

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• On the definiteness of the solutions of certain matrix equations
• Some results on matrix monotone functions
• Positive definite matrices