Concavity of certain maps on positive definite matrices and applications to Hadamard products
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- Type
- article
- Published
- 1979-08-01
- Cited by
- 536
- References
- 16
- Access
- Open access
- OpenAlex
- https://openalex.org/W2023267838
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:121714566
Keywords
Mathematics, Positive-definite matrix, Convexity, Combinatorics, Affine transformation
References
- Monotone Matrix Functions and Analytic Continuation
- A schwarz inequality for positive linear maps on C^-algebras
- Uber eine Ungleichung f? ur positiv definite Matrizen
- Series and parallel addition of matrices
- Hadamard products and multivariate statistical analysis
- A Schwarz inequality for convex operator functions
- Chinese Translation of: A Survey of Matrix Theory and Matrix Inequalities
- Remarks on two theorems of E. Lieb
- Functional calculus for sesquilinear forms and the purification map
- The norm of the Schur product operation
- A Class of Monotone Operator Functions Related to Electrical Network Theory
- Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- A Note on the Hadamard Product
- On the Positive Semidefinite Nature of a Certain Matrix Expression
- The theory of matrices
- Shorted Operators
- Theory of matrices
- A Survey of Matrix Theory and Matrix Inequalities.
Cited by
- Semidefinite and Cone Programming Bibliography/Comments
- T. Furuta, J. M. Hot, J. Pecari\'c and Y. Seo: Mond–Pecari\'c Method in Operator Inequalities ——Inequalities for Bounded Selfadjoint Operators on a Hilbert Space——, Monographs in Inequal., 1, Element, 2005年，xiv + 262ページ．
- APPROXIMATION TO THE SQUARE ROOT OF A POSITIVE OPERATOR
- Proofs of operator monotonicity of some functions by using Lowner's integral representation
- Positive Definite Matrices
- Introduction to Matrix Analysis and Applications
- Applications of Semidefinite Programming in Quantum Cryptography
- The arithmetic-geometric mean and its generalizations for noncommuting linear operators
- On the power means and Lawson-Lim means for positive invertible operators
- Some Operator and Trace Function Convexity Theorems
- BLOOMFIELD-WATSON-KNOTT TYPE INEQUALITIES FOR EIGENVALUES
- GENERALIZED SCHUR COMPLEMENTS OF MATRICES AND COMPOUND MATRICES
- Integral Representations and Decompositions of Operator Monotone Functions on the Nonnegative Reals
- Characterizations of Connections for Positive Operators
- Improvements on Geometric Means Related to the Tracy-Singh Products of Positive Matrices
- A note on Stormer condition for decomposability of positive maps
- Inequalities: Theory of majorization and its applications: by Albert W. Marshall and Ingram Olkin
- Information-disturbance tradeoff in quantum measurement on the uniform ensemble
- Operator Connections and Borel Measures on the Unit Interval
- Operator Monotone Functions: Characterizations and Integral Representations
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