Characterizations of almost periodic strongly continuous cosine operator functions
type: Item
instance of: scholarly article
title: Characterizations of almost periodic strongly continuous cosine operator functions
zbMATH Open document ID: 0604.47026
DOI: 10.1016/0022-247X(86)90054-5
author: Ioana Ciorănescu
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: The almost periodic and uniformly almost periodic cosine operator functions are characterized in terms of their infinitesimal generator; the results extend those due to \textit{H. Bart} and \textit{S. Goldberg} [Math. Ann. 236, 105-116 (1978; Zbl 0365.47019)] for the case of semi- groups of class \(c_ 0\). The main result is: A strongly continuous cosine operator function is almost periodic iff it is uniformly bounded and its infinitesimal generator has a total set of eigenvectors.
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 47D99
zbMATH DE Number: 3975713
zbMATH Keywords: uniformly almost periodic cosine operator functions
zbMATH Keywords: infinitesimal generator
zbMATH Keywords: uniformly bounded
zbMATH Keywords: total set of eigenvectors
MaRDI profile type: Publication
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full work available at URL: 0022-247x(86)90054-5
OpenAlex ID: W2025764165
description: scientific article; zbMATH DE number 3975713