The fast track to Löwner's theorem
From MaRDI portal
Publication:389736
DOI10.1016/j.laa.2013.01.022zbMath1284.26011arXiv1112.0098OpenAlexW2151994473MaRDI QIDQ389736
Publication date: 21 January 2014
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.0098
Linear operator inequalities (47A63) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)
Related Items (32)
Approximate recoverability and relative entropy. II: 2-positive channels of general von Neumann algebras ⋮ An extension of the van Hemmen–Ando norm inequality ⋮ Competitive online algorithms for resource allocation over the positive semidefinite cone ⋮ WYD-like skew information measures ⋮ Matrix analysis and quantum information ⋮ More on operator monotone and operator convex functions of several variables ⋮ Local characterizations for the matrix monotonicity and convexity of fixed order ⋮ Extension of inverses of entire functions of genus 1 and 2 to the upper half plane ⋮ Loewner's theorem in several variables ⋮ Modular nuclearity: a generally covariant perspective ⋮ Quantum Hellinger distances revisited ⋮ Trace- and improved data-processing inequalities for von Neumann algebras ⋮ Two-moment characterization of spectral measures on the real line ⋮ Operator means of probability measures and generalized Karcher equations ⋮ Convex multivariate operator means ⋮ Limiting absorption principle for discrete Schrödinger operators with a Wigner-von Neumann potential and a slowly decaying potential ⋮ The induced Aluthge transformations ⋮ Quantum entropy derived from first principles ⋮ Trace functions with applications in quantum physics ⋮ Subnormal \(n\)th roots of quasinormal operators are quasinormal ⋮ Optimized quantumf-divergences and data processing ⋮ Weighted multivariable operator means of positive definite operators ⋮ Characterisation of matrix entropies ⋮ Integral representations of some families of operator monotone functions ⋮ From positive to accretive matrices ⋮ Inequalities for the extended positive part of a von Neumann algebra related to operator-monotone and operator-convex functions ⋮ Geodesic in-betweenness for means of several matrices ⋮ Approximate recovery and relative entropy. I: General von Neumann subalgebras ⋮ The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results ⋮ Accretive matrices and matrix convex functions ⋮ Generalized Hellinger metric and Audenaert's in-betweenness ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Differential analysis of matrix convex functions
- Jensen's inequality for operators and Loewner's theorem
- Operator convex functions of several variables
- The Calderón problem for Hilbert couples
- Significance of Loewner's theorem in the quantum theory of collisions
- Concavity of monotone matrix functions of finite order
- A new proof of Löwner's theorem on monotone matrix functions.
- Operator monotone functions of several variables
- Monotone and Convex Operator Functions
This page was built for publication: The fast track to Löwner's theorem