Antieigenvalues and total antieigenvalues of normal operators
type: Item
instance of: scholarly article
title: Antieigenvalues and total antieigenvalues of normal operators
zbMATH Open document ID: 1020.47020
DOI: 10.1016/S0022-247X(02)00295-0
author: Morteza Seddighin
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: Given an operator \(T\) on a Banach space \(X\), the first antieigenvalue of \(T\) is \[ \mu_1(T)= \inf_{Tf\neq 0} {\text{Re} (Tf,f)\over\|Tf \|\|f\|} \] where \((f,g)\) is a semi-inner product on \(X\). This paper generalizes earlier work on antieigenvalues and total antieigenvalues of normal operators.
Mathematics Subject Classification ID: 47B15
Mathematics Subject Classification ID: 47A12
zbMATH DE Number: 1866625
zbMATH Keywords: normal operator
zbMATH Keywords: Banach space
zbMATH Keywords: first antieigenvalue
zbMATH Keywords: semi-inner product
reviewed by: Joe Howard
MaRDI profile type: Publication
cites work: The angle of an operator and positive operator products
cites work: Positive (noncommuting) operator products and semigroups
cites work: Q4043611
cites work: An extended operator trigonometry
cites work: Numerical range and accretivity of operator products
cites work: Antieigenvalue bounds
cites work: A note on total antieigenvectors
cites work: Q5791786
cites work: Q4405392
description: scientific article; zbMATH DE number 1866625