A generalization of the Hoffman-Wielandt theorem
type: Item
instance of: scholarly article
title: A generalization of the Hoffman-Wielandt theorem
zbMATH Open document ID: 0774.15011
DOI: 10.1016/0024-3795(93)90318-I
author: Rajendra Bhatia
author: T. Bhattacharyya
published in: Linear Algebra and its Applications
publication date: 1993-05-16T00:00:00Z
review text: The well known Hoffman-Wielandt inequality, bounding the distance between the spectra of two normal matrices, is extended to the case of commuting tuples. The proof uses besides the Birkhoff-König theorem on doubly stochastic matrices also the imbedding of tuples of matrices in Clifford operators. We remark that a different proof has been given by the reviewer [ibid. 182, 235-237 (1993)].
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15A66
zbMATH DE Number: 166244
zbMATH Keywords: eigenvalue variation
zbMATH Keywords: Clifford algebra
zbMATH Keywords: Hoffman-Wielandt inequality
zbMATH Keywords: normal matrices
zbMATH Keywords: Birkhoff-König theorem
zbMATH Keywords: doubly stochastic matrices
zbMATH Keywords: Clifford operators
reviewed by: Ludwig Elsner
MaRDI profile type: Publication
cites work: Q3996765
cites work: The variation of the spectrum of a normal matrix
cites work: Q3469767
cites work: Q3998482
cites work: Q3216776
description: scientific article; zbMATH DE number 166244