The point spectrum of Frobenius-Perron and Koopman operators

DOI10.1090/S0002-9939-98-04188-4zbMath0892.47010MaRDI QIDQ4383135

Jiu Ding

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Frobenius-Perron operatorpoint spectrumKoopman operatornonsingular transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38)

Related Items (5)

Towards global optimal control via Koopman lifts ⋮ The asymptotic behavior of Frobenius-Perron operator with local lower-bound function ⋮ Computational hydrodynamic stability and flow control based on spectral analysis of linear operators ⋮ Essential norm of substitution operators on \(L^p\) spaces ⋮ On the spectrum of Frobenius-Perron operators

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• Spectral Properties of Positive Maps on C^* -Algebras
• A convergence rate analysis for markov finite approximations to a class of Frobenius-Perron operators

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