On the spectrum of Frobenius-Perron operators
type: Item
instance of: scholarly article
title: On the spectrum of Frobenius-Perron operators
zbMATH Open document ID: 0991.47014
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-08-19T00:00:00Z
review text: The spectrum of the Frobenius-Perron operator \(P: L^1 \to L^1\) associated to nonsingular transformations on \(\sigma\)-finite measure spaces is studied. It was conjectured that the spectrum \(\sigma(P)\) of \(P\) is either the unit disc or a cyclic subset of the union of the unit circle and \(0\). The author proves this conjecture in some cases which are more general than those in previous works.
reviewed by: Boris Rubin
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 37A30
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A35
Mathematics Subject Classification ID: 47B40
zbMATH DE Number: 1542468
zbMATH Keywords: Frobenius-Perron operators
zbMATH Keywords: spectrum
author: J. Ding
author: Aihui Zhou
MaRDI profile type: Publication
full work available at URL: jmaa.2000.7003
OpenAlex ID: W2069745937
cites work: Error estimates of the Markov finite approximation of the Frobenius-Perron operator
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cites work: On the approximation of invariant measures
cites work: Chaos, fractals, and noise: Stochastic aspects of dynamics.
cites work: Q4042131
DOI: 10.1006/JMAA.2000.7003
description: scientific article; zbMATH DE number 1542468