Linear chaos and approximation
type: Item
instance of: scholarly article
title: Linear chaos and approximation
zbMATH Open document ID: 1005.47037
published in: Journal of Approximation Theory
publication date: 2001-01-04T00:00:00Z
review text: This work deals with the chaoticity of semigroups. Let \((T_n(t))_{t\geq 0}\) be a sequence of strongly continuous linear semigroups on Banach spaces \(X_n\) converging in the sense of Kato to a semigroup \((T(t))_{t\geq 0}\) on the Banach space \(X\). Under some assumptions, the authors show that the chaoticity of the family of the semigroup \((T_n(t))_{t\geq 0}\) is inherited by the semigroup \((T(t))_{t\geq 0}\). Some applications on the discrete parabolic equation are given at the end of this work.
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 1495769
zbMATH Keywords: chaoticity
zbMATH Keywords: strongly continuous linear semigroup
author: R. deLaubenfels
author: Hassan Emamirad
author: V. Protopopescu
reviewed by: Mohamed Boulanouar
MaRDI profile type: Publication
OpenAlex ID: W2024673407
cites work: On Devaney's Definition of Chaos
cites work: Hypercyclic and chaotic semigroups of linear operators
cites work: Q3993502
cites work: Operators with dense, invariant, cyclic vector manifolds
cites work: Q5526485
cites work: On the Definition of Chaos
cites work: Period Three Implies Chaos
cites work: Chaos in Linear Distributed Systems
cites work: TOPOLOGICAL CHAOS FOR A CLASS OF LINEAR MODELS
cites work: Chaos-free numerical solutions of reaction-diffusion equations
cites work: Q4123693
cites work: Q4692840
DOI: 10.1006/JATH.2000.3465
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description: scientific article; zbMATH DE number 1495769