Non-commutative perspectives
From MaRDI portal
Publication:402909
DOI10.15352/afa/1396833504zbMath1308.47014arXiv1309.7701OpenAlexW2964292182MaRDI QIDQ402909
Frank Hansen, Edward G. Effros
Publication date: 29 August 2014
Published in: Annals of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.7701
Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Convexity of real functions of several variables, generalizations (26B25)
Related Items (26)
A new characterization of the operator perspective ⋮ Perspectives, Means and their Inequalities ⋮ Quantum Fokker-Planck dynamics ⋮ Upper and lower bounds for noncommutative perspectives of operator monotone functions: the case of second variable ⋮ \(C^\ast\)-convexity of norm unit balls ⋮ Lipschitz type inequalities for noncommutative perspectives of operator monotone functions in Hilbert spaces ⋮ Jointly convex mappings related to Lieb's theorem and Minkowski type operator inequalities ⋮ Correction to: ``Trace functions with applications in quantum physics ⋮ A new perspective on low-rank optimization ⋮ Two variables functionals and inequalities related to measurable operators ⋮ Loewner's theorem in several variables ⋮ Regular operator mappings and multivariate geometric means ⋮ Different quantum f-divergences and the reversibility of quantum operations ⋮ CONVEXITY OF PARAMETER EXTENSIONS OF SOME RELATIVE OPERATOR ENTROPIES WITH A PERSPECTIVE APPROACH ⋮ Matrix perspectives and matrix convexity ⋮ Log-majorization related to Rényi divergences ⋮ Quantum f-divergences in von Neumann algebras. II. Maximal f-divergences ⋮ Semidefinite approximations of the matrix logarithm ⋮ The converse of the Loewner–Heinz inequality via perspective ⋮ Multivariate extensions of Lieb's concavity theorem ⋮ Unnamed Item ⋮ Some remarks on Tsallis relative operator entropy ⋮ Ando–Hiai-type inequalities for operator means and operator perspectives ⋮ Some operator convex functions of several variables ⋮ Pusz-Woronowicz functional calculus and extended operator convex perspectives ⋮ The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results
This page was built for publication: Non-commutative perspectives
