Discrete-time theorems for the dichotomy of one-parameter semigroups
type: Item
instance of: scholarly article
title: Discrete-time theorems for the dichotomy of one-parameter semigroups
zbMATH Open document ID: 1154.34361
author: Ciprian Preda
published in: Communications on Pure and Applied Analysis
publication date: 2008-06-18T00:00:00Z
review text: Continuing investigations of \textit{P. Preda} and \textit{M. Megan} [Bull.\ Austral.\ Math.\ Soc. 30, 435--448 (1984; Zbl 0547.47022)], the author gives several discrete-time sufficient conditions for the dichotomy of a \(C_0\)-semigroup \(T(t)_{t\geq0}\) on a Banach space in the general case when it is not required that the kernel of the dichotomic projector is \(T(t)\)-invariant. Complete characterizations for the exponential dichotomy are also given with the additional requirement that the dichotomic projector commutes with \(T(t)\) for each \(t\geq0\).
reviewed by: Zoran Kadelburg
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34D09
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 5289870
zbMATH Keywords: one-parameter semigroup
zbMATH Keywords: dichotomy
MaRDI profile type: Publication
full work available at URL: cpaa.2008.7.457
OpenAlex ID: W2016860311
DOI: 10.3934/CPAA.2008.7.457
description: scientific article; zbMATH DE number 5289870