Flat portions on the boundary of the Davis-Wielandt shell of 3-by-3 matrices
type: Item
instance of: scholarly article
title: Flat portions on the boundary of the Davis-Wielandt shell of 3-by-3 matrices
zbMATH Open document ID: 1155.15031
author: Mao-Ting Chien
author: Hiroshi Nakazato
published in: Linear Algebra and its Applications
publication date: 2008-12-02T00:00:00Z
review text: The Davis-Wielandt shell of an \(n \times n\) matrix \(T\) is defined as the set \[ W(T,T^*T)= \{(x^*Tx,x^*T^*Tx): x \in \mathbb C\times\mathbb R,\;x^*x=1\}. \] The main aim of the paper is to investigate the existence of flat portions on the boundary of the Davis-Wielandt shell for \(n=3\), or the joint numerical range in the case \(m=n=3\).
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 32S25
zbMATH DE Number: 5376896
zbMATH Keywords: joint numerical range
zbMATH Keywords: Davis-Wielandt shell
zbMATH Keywords: flat portion
zbMATH Keywords: singularities
MaRDI profile type: Publication
full work available at URL: j.laa.2008.07.014
OpenAlex ID: W2081217943
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DOI: 10.1016/J.LAA.2008.07.014
description: scientific article; zbMATH DE number 5376896