CONVEX MULTIVARIABLE TRACE FUNCTIONS
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Publication:4420449
DOI10.1142/S0129055X02001260zbMath1034.46050arXivmath/0107062MaRDI QIDQ4420449
Elliott H. Lieb, Gert Kjaergård Pedersen
Publication date: 17 August 2003
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0107062
operator algebrastrace inequalitytrace functionoperator meanKadison-Fuglede determinant\(\ell\)-convexity
Characterizations of Hilbert spaces (46C15) General theory of von Neumann algebras (46L10) Functional calculus for linear operators (47A60) General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30)
Related Items (8)
On the convexity of some trace functions ⋮ MONOTONE TRACE FUNCTIONS OF SEVERAL VARIABLES ⋮ Relative convexity and its applications ⋮ Convexity of trace functionals and Schrödinger operators ⋮ Some determinant inequalities for operators ⋮ Monotonicity properties of the quantum mechanical particle density: An elementary proof ⋮ Jensen's Trace Inequality in Several Variables ⋮ Anti-norms on finite von Neumann algebras
Cites Work
- On an inequality of Lieb and Thirring
- Spectral scale of selfadjoint operators and trace inequalities
- The classical limit of quantum partition functions
- Concavity of certain maps on positive definite matrices and applications to Hadamard products
- Functional calculus for sesquilinear forms and the purification map
- Means of positive linear operators
- Some operator inequalities of the Schwarz type
- The classical limit of quantum spin systems
- Series and parallel addition of matrices
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- Determinant theory in finite factors
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