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ISSN 1088-6826(e) ISSN 0002-9939(p)

The point spectrum of Frobenius-Perron and Koopman operators

Author(s): J. Ding
Journal: Proc. Amer. Math. Soc. 126 (1998), 1355-1361.
MSC (1991): Primary 47A35, 28D05, 47A10, 47B38
MathSciNet review: 1443148
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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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