Ando–Hiai-type inequalities for operator means and operator perspectives
DOI10.1142/S0129167X2050007XWikidataQ126866326 ScholiaQ126866326MaRDI QIDQ5214079
Yuki Seo, Fumio Hiai, Shuhei Wada
Publication date: 7 February 2020
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.01929
operator monotone functionoperator meanAndo-Hiai inequalityoperator convex functionLie-Trotter formulaweak log-majorizationlog-Euclidean meanoperator perspective
Linear operator inequalities (47A63) Positive linear operators and order-bounded operators (47B65) Operator means involving linear operators, shorted linear operators, etc. (47A64)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-commutative perspectives
- Tsallis relative operator entropy with negative parameters
- Operator log-convex functions and operator means
- On an inequality of Lieb and Thirring
- On a reverse of Ando-Hiai inequality
- Jensen's inequality for operators and Loewner's theorem
- The Golden-Thompson trace inequality is complemented
- A Schwarz inequality for positive linear maps on C\(^*\)-algebras
- Means of positive linear operators
- Log majorization and complementary Golden-Thompson type inequalities
- When does Ando-Hiai inequality hold?
- Log-majorization related to Rényi divergences
- Matrix trace inequalities on Tsallis relative entropy of negative order
- Comparison of norms \(|||f(A)-f(B)|||\) and \(|||f(|A-B|)|||\)
- Über monotone Matrixfunktionen
- Extension of the Furuta inequality and Ando-Hiai log-majorization
- On some inequalities for the matrix power and Karcher means
- Geometric convexity of an operator mean
- Jensen and Minkowski inequalities for operator means and anti-norms
- Some ways of constructing Furuta-type inequalities
- The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results
- A complement of the Ando-Hiai inequality and norm inequalities for the geometric mean
- Über konvexe Matrixfunktionen
- Norm inequalities for matrix geometric means of positive definite matrices
- The Riemannian mean and matrix inequalities related to the Ando-Hiai inequality and chaotic order
- On the Ando–Li–Mathias mean and the Karcher mean of positive definite matrices
- Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
- A matrix convexity approach to some celebrated quantum inequalities
- QUANTUM f-DIVERGENCES AND ERROR CORRECTION
- A Schwarz Inequality for Convex Operator Functions
- Perspectives of matrix convex functions
- Ando–Hiai type inequalities for multivariate operator means
- Different quantum f-divergences and the reversibility of quantum operations
- Higher order extension of Löwner’s theory: Operator 𝑘-tone functions
- On some operator inequalities
This page was built for publication: Ando–Hiai-type inequalities for operator means and operator perspectives