Relative Operator Entropy
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Publication:5888391
DOI10.1007/978-3-031-02104-6_3OpenAlexW4302589993MaRDI QIDQ5888391
Publication date: 25 April 2023
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-02104-6_3
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Geometry and structure of normed linear spaces (46B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Equations and inequalities involving linear operators, with vector unknowns (47A50)
Cites Work
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- A Mathematical Theory of Communication
- Relative operator entropy related with the spectral geometric mean
- Tsallis relative operator entropy with negative parameters
- Path of quasi-means as a geodesic
- Matrix power means and the Karcher mean
- Riemannian geometry and matrix geometric means
- Structure of Hiai-Petz parametrized geometry for positive definite matrices
- Jensen's inequality for operators and Loewner's theorem
- The Golden-Thompson trace inequality is complemented
- Means of positive linear operators
- Matrix trace inequalities on Tsallis relative entropy of negative order
- Generalized Shannon inequalities based on Tsallis relative operator entropy
- Inequalities for quantum relative entropy
- Monotonic decrease of the quantum nonadditive divergence by projective measurements
- Differential and metrical structure of positive operators
- Matrix trace inequalities related to the Tsallis relative entropies of real order
- The relative operator entropy and the Karcher mean
- The \(n\)-th relative operator entropies and the \(n\)-th operator divergences
- The \(n\)-th residual relative operator entropy \({\mathfrak{R}}^{[n}_{x,y}(A|B)\)]
- Relative entropy and Tsallis entropy of two accretive operators
- Series and parallel addition of matrices
- A note on operator inequalities of Tsallis relative operator entropy
- Karcher means and Karcher equations of positive definite operators
- Fundamental properties of Tsallis relative entropy
- GEODESICS AND OPERATOR MEANS IN THE SPACE OF POSITIVE OPERATORS
- A Schwarz Inequality for Convex Operator Functions
- Convexity inequalities for estimating free energy and relative entropy
- A Survey of Recent Inequalities for Relative Operator Entropy
- Conditional expectation in an operator algebra. IV. Entropy and information
- On Information and Sufficiency
- An operator inequality
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