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ISSN 1088-6850(e) ISSN 0002-9947(p)

Transfer operators acting on Zygmund functions

Author(s): Viviane Baladi; Yunping Jiang; Oscar E. Lanford III
Journal: Trans. Amer. Math. Soc. 348 (1996), 1599-1615.
MSC (1991): Primary 47A10, 47B38, 58F03, 26A16
MathSciNet review: 1348856
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Abstract: We obtain a formula for the essential spectral radius $\rho _{\text{ess}}$ of transfer-type operators associated with families of $C^{1+\delta }$ diffeomorphisms of the line and Zygmund, or Hölder, weights acting on Banach spaces of Zygmund (respectively Hölder) functions. In the uniformly contracting case the essential spectral radius is strictly smaller than the spectral radius when the weights are positive.

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