Spectral theory of almost periodic representations of semigroups
type: Item
instance of: scholarly article
title: Spectral theory of almost periodic representations of semigroups
zbMATH Open document ID: 0557.22006
DOI: 10.1007/BF01086773
author: Mikhail Lyubich
author: Yu. I. Lubich
published in: Ukrainian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: A representation \(T\) of a topological semigroup \(S\) in a Banach space \(B\) is called almost periodic if the set \(O(x)=\{y: y=T(s)x,\;s\in S\}\) is strongly precompact for any \(x\in B\). The authors study different types (convergent, ergodic, primitive) of such representations. There are some corollaries for linear operators of Banach spaces.
reviewed by: Igor V. Protasov
Mathematics Subject Classification ID: 22A25
zbMATH DE Number: 3887955
zbMATH Keywords: almost periodic representation
zbMATH Keywords: topological semigroup
zbMATH Keywords: Banach space
MaRDI profile type: Publication
cites work: Applications of almost periodic compactifications
cites work: Asymptotic behavior of successive iterates of continuous functions under a Markov operator
cites work: Q5343837
cites work: Q5683519
full work available at URL: https://doi.org/10.1007/bf01086773
OpenAlex ID: W2006463600
description: scientific article; zbMATH DE number 3887955