Weyl type theorem and hypercyclic operators
type: Item
instance of: scholarly article
title: Weyl type theorem and hypercyclic operators
zbMATH Open document ID: 1109.47003
author: Xiaohong Cao
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-11-15T00:00:00Z
review text: The author gives necessary and sufficient conditions for \(T\in L(X)\) so that \(a\)-Browder's theorem or \(a\)-Weyl's theorem holds. Also, the relation between hypercyclic operators (supercyclic operators) and the operators for which a Weyl type theorem holds is studied.
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A16
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 47B33
zbMATH DE Number: 5072943
zbMATH Keywords: a-Weyl's theorem
zbMATH Keywords: a-Browder's theorem
zbMATH Keywords: hypercyclic operator
zbMATH Keywords: supercyclic operator
reviewed by: Bahmann Yousefi
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.10.041
OpenAlex ID: W2024731383
cites work: The single valued extension property on a Banach space
cites work: A note on \(a\)-Weyl's theorem
cites work: Q3994350
cites work: Another note on Weyl’s theorem
cites work: Q3683031
cites work: Limits of hypercyclic and supercyclic operators
cites work: Q5182704
cites work: On the Weyl spectrum. II
cites work: Q4204666
cites work: Theorems on ascent, descent, nullity and defect of linear operators
DOI: 10.1016/J.JMAA.2005.10.041
Recommended article: Weyl's type theorems and hypercyclic operators
Recommended article: Weyl type theorems and hypercyclic operators II
Recommended article: Weyl's theorem and hypercyclic/supercyclic operators
Recommended article: Hypercyclicity and Weyl type theorems for operator matrices
Recommended article: Weyl type theorems for Cesàro-hypercyclic operators
Recommended article: Q4996494
Recommended article: Weyl type theorems for a certain class of operators
Recommended article: Q3005928
Recommended article: Q3571829
Recommended article: Q2966548
description: scientific article; zbMATH DE number 5072943