A unified approach to operator monotone functions
type: Item
instance of: scholarly article
title: A unified approach to operator monotone functions
zbMATH Open document ID: 1392.15018
author: Tianpei Jiang
author: Hristo S. Sendov
published in: Linear Algebra and its Applications
publication date: 2018-01-12T00:00:00Z
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 49R05
zbMATH DE Number: 6825627
zbMATH Keywords: operator monotone function
zbMATH Keywords: Löwner operator
zbMATH Keywords: spectral function
zbMATH Keywords: isotropic function
zbMATH Keywords: primary matrix function
zbMATH Keywords: Pick function
zbMATH Keywords: Bernstein function
zbMATH Keywords: symmetric function
zbMATH Keywords: positive map
zbMATH Keywords: D-type linear map
zbMATH Keywords: diagonal D-type linear map
MaRDI profile type: Publication
full work available at URL: j.laa.2017.11.034
OpenAlex ID: W2774352756
cites work: Derivatives of compound matrix valued functions
cites work: All convex invariant functions of hermitian matrices
cites work: Additive compound matrices and an inequality for eigenvalues of symmetric stochastic matrices
cites work: Convex spectral functions
cites work: Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation
cites work: Jensen's inequality for operators and Loewner's theorem
cites work: Q4040931
cites work: A characterization of positive linear maps and criteria of entanglement for quantum states
cites work: A new criterion and a special class of \(k\)-positive maps
cites work: Derivatives of Spectral Functions
cites work: Q5690370
cites work: Twice differentiable spectral functions
cites work: Nonsmooth analysis of eigenvalues
cites work: Compound matrices and ordinary differential equations
cites work: Positive finite rank elementary operators and characterizing entanglement of states
cites work: Bernstein functions. Theory and applications
cites work: The higher-order derivatives of spectral functions
cites work: Differentiability properties of isotropic functions
cites work: On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
cites work: On the differentiability of O(n) invariant functions of symmetric matrices
cites work: On analyticity of functions involving eigenvalues
cites work: Semidefinite Programming
DOI: 10.1016/J.LAA.2017.11.034
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description: scientific article; zbMATH DE number 6825627