A softer, stronger Lidskii theorem
type: Item
instance of: scholarly article
title: A softer, stronger Lidskii theorem
zbMATH Open document ID: 0675.15001
DOI: 10.1007/BF02874648
author: Rajendra Bhatia
author: John Holbrook
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1989-01-01T00:00:00Z
review text: Let A, B be selfadjoint matrices. The theorem of Lidskii relates the eigenvalues of A-B to those of A and B. The authors introduce a notion of weak majorization (their ``soft'' inequalities) and use it to study the relations among the eigenvalues of A, B, and A-B and the behavior of weakly unitarily invariant norms.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 4105132
zbMATH Keywords: Lidskii theorem
zbMATH Keywords: soft inequalities
zbMATH Keywords: selfadjoint matrices
zbMATH Keywords: eigenvalues
zbMATH Keywords: weak majorization
zbMATH Keywords: weakly unitarily invariant norms
reviewed by: George Phillip Barker
MaRDI profile type: Publication
cites work: Q3943083
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full work available at URL: https://doi.org/10.1007/bf02874648
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description: scientific article; zbMATH DE number 4105132