Antieigenvalue bounds
type: Item
instance of: scholarly article
title: Antieigenvalue bounds
zbMATH Open document ID: 0696.47004
DOI: 10.1016/0022-247X(89)90044-9
author: Karl Gustafson
author: Morteza Seddighin
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: The first antieigenvalue (or the deviation) of a bounded operator T is defined by \[ \mu_ 1(T)=\inf (Re[Tx,x])/(\| Tx\| \cdot \| x\|). \] In the article under review bounds for \(\mu_ 1(T)\) are determined. As main result a new method for the computation of antieigenvalues is presented (namely that of Lagrange multiplier).
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A12
zbMATH DE Number: 4140565
zbMATH Keywords: cosine of an operator
zbMATH Keywords: numerical range
zbMATH Keywords: first antieigenvalue
zbMATH Keywords: deviation
zbMATH Keywords: bounded operator
zbMATH Keywords: computation of antieigenvalues
zbMATH Keywords: Lagrange multiplier
reviewed by: Wolfgang Arendt
MaRDI profile type: Publication
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full work available at URL: 0022-247x(89)90044-9
OpenAlex ID: W4206016331
description: scientific article; zbMATH DE number 4140565