Modulus of continuity of the matrix absolute value
type: Item
instance of: scholarly article
title: Modulus of continuity of the matrix absolute value
zbMATH Open document ID: 1226.47010
author: Rajendra Bhatia
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2010-07-09T00:00:00Z
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 5734651
zbMATH Keywords: matrix absolute value
zbMATH Keywords: perturbation bound
zbMATH Keywords: commutator
zbMATH Keywords: triangular truncation
zbMATH Keywords: Schur product
MaRDI profile type: Publication
full work available at URL: s13226-010-0014-0
OpenAlex ID: W1986844034
cites work: An inequality for Hilbert-Schmidt norm
cites work: Q5690490
cites work: First and second order perturbation bounds for the operator absolute value
cites work: Perturbation bounds for the operator absolute value
cites work: Pinching, Trimming, Truncating, and Averaging of Matrices
cites work: Commutators, pinchings, and spectral variation
cites work: Positive Definite Functions and Operator Inequalities
cites work: Lipschitz Continuity of Functions of Operators in the Schatten Classes
cites work: An estimate of the norm |f(B)-f(A)| for self-adjoint operators A and B
cites work: Continuity of the map $S \to \left| S \right|$ for linear operators
cites work: On Lipschitz Functions of Normal Operators
cites work: Unitarily invariant norms under which the map \(A\to| A|\) is Lipschitz continuous
cites work: New Perturbation Bounds for the Unitary Polar Factor
cites work: The Hadamard Operator Norm of a Circulant and Applications
cites work: Counterexample to a Question on Commutators
DOI: 10.1007/S13226-010-0014-0
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description: scientific article; zbMATH DE number 5734651