A closed range theorem for the Frobenius-Perron operator and its application to the spectral analysis
type: Item
instance of: scholarly article
title: A closed range theorem for the Frobenius-Perron operator and its application to the spectral analysis
zbMATH Open document ID: 0804.47032
author: J. Ding
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-08-17T00:00:00Z
review text: The theory of functional analysis is used to obtain some new general results of Frobenius-Perron operators \(P_ S: L^ 1(X)\to L^ 1(X)\) and Koopman operators \(U_ S: L^ \infty(X)\to L^ \infty(X)\). As an application of these results, new necessary and sufficient conditions are got for \(P_ S\) and \(U_ S\) to be isometric, respectively, and so in this case the spectrum of \(P_ S\) is completely determined.
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 617449
zbMATH Keywords: Frobenius-Perron operators
zbMATH Keywords: Koopman operators
reviewed by: Jürgen Lorenz
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1191
OpenAlex ID: W1967442296
DOI: 10.1006/JMAA.1994.1191
description: scientific article; zbMATH DE number 617449