Completely positive mappings and mean matrices

DOI10.1016/j.laa.2011.01.043zbMath1223.26048arXiv1012.4754OpenAlexW2151853752MaRDI QIDQ551243

Dénes Petz, Ádám Besenyei

Publication date: 15 July 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4754

zbMATH Keywords

Hadamard productlogarithmic meanmatrix meanscompletely positive mappingmatrix monotone function

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Means (26E60)

Related Items (9)

Characterizations of certain means of positive operators ⋮ The Hasegawa-Petz mean: properties and inequalities ⋮ Families of completely positive maps associated with monotone metrics ⋮ Matrix power means and the Karcher mean ⋮ Stable and stabilizable means involving linear operator arguments ⋮ On dissimilarities of the conventional and Kubo-Ando power means in operator algebras ⋮ On weighted means and their inequalities ⋮ Maps on positive cones in operator algebras preserving power means ⋮ Characterization of mean transformations

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• Generalizations of the Logarithmic Mean
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