On a correspondence between regular and non-regular operator monotone functions
DOI10.1016/j.laa.2008.11.022zbMath1178.47011arXiv0808.0468OpenAlexW2112206754MaRDI QIDQ1014487
Tommaso Isola, Frank Hansen, Paolo Gibilisco
Publication date: 29 April 2009
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0808.0468
Applications of operator theory in the physical sciences (47N50) Applications of selfadjoint operator algebras to physics (46L60) Measures of information, entropy (94A17) Monotonic functions, generalizations (26A48) Statistical aspects of information-theoretic topics (62B10) States of selfadjoint operator algebras (46L30) Operator means involving linear operators, shorted linear operators, etc. (47A64)
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Cites Work
- Unnamed Item
- Superadditivity of Fisher's information and logarithmic Sobolev inequalities
- A class of matrix monotone functions
- A dynamical uncertainty principle in von Neumann algebras by operator monotone functions
- Inequalities for quantum skew information
- Jensen's inequality for operators and Loewner's theorem
- Homogeneity of the state space of factors of type \(III_1\)
- Means of positive linear operators
- Monotone metrics on matrix spaces
- On the Riemannian metric of \(\alpha\)-entropies of density matrices
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- Metric adjusted skew information
- Uncertainty principle and quantum Fisher information. II.
- Geometries of quantum states
- INFORMATION CONTENTS OF DISTRIBUTIONS
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