The point spectrum of Frobenius-Perron and Koopman operators

Ding, J.

doi:10.1090/S0002-9939-98-04188-4

The point spectrum of Frobenius-Perron and Koopman operators
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Proc. Amer. Math. Soc. 126 (1998), 1355-1361 Request permission

Abstract:

We present some results on the point spectrum of the Frobenius-Perron operator $P:L^1\to L^1$ and the Koopman operator $U\colon L^\infty \to L^\infty$ associated with a nonsingular transformation $S\colon X\to X$ on a $\sigma$-finite measure space $(X,\Sigma ,\mu )$.

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