Preserver problems related to quasi-arithmetic means of invertible positive operators
type: Item
instance of: scholarly article
title: Preserver problems related to quasi-arithmetic means of invertible positive operators
zbMATH Open document ID: 1390.15111
author: Marcell Gaál
author: Gergő Nagy
published in: Integral Equations and Operator Theory
publication date: 2018-04-13T00:00:00Z
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A86
Mathematics Subject Classification ID: 47A64
Mathematics Subject Classification ID: 47B49
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 6859646
zbMATH Keywords: positive definite matrices
zbMATH Keywords: quasi-arithmetic means
zbMATH Keywords: nonlinear preservers
zbMATH Keywords: geodesics
MaRDI profile type: Publication
full work available at URL: s00020-018-2426-x
OpenAlex ID: W2793455981
cites work: Q5690490
cites work: Q4793074
cites work: Q3927697
cites work: Path of quasi-means as a geodesic
cites work: Maps on positive operators preserving Rényi type relative entropies and maximal \(f\)-divergences
cites work: Riemannian metrics on positive definite matrices related to means
cites work: Linear transformations which preserve Hermitian matrices
cites work: A generalized Schwarz inequality and algebraic invariants for operator algebras
cites work: Means of positive linear operators
cites work: Maps on the positive definite cone of a \(C^\ast\)-algebra preserving certain quasi-entropies
cites work: Order automorphisms on positive definite operators and a few applications
cites work: Q3165157
cites work: Maps preserving the harmonic mean or the parallel sum of positive operators
cites work: Maps preserving the geometric mean of positive operators
cites work: Order-automorphisms of the set of bounded observables
cites work: Transformations preserving norms of means of positive operators and nonnegative functions
cites work: Preservers for the \(p\)-norm of linear combinations of positive operators
cites work: Q4293544
cites work: Q3998482
cites work: Preserving problems of geodesic-affine maps and related topics on positive definite matrices
DOI: 10.1007/S00020-018-2426-X
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description: scientific article; zbMATH DE number 6859646