11-134 Genrich Belitskii and Victoria Rayskin

ON THE GROBMAN-HARTMAN THEOREM IN lpha-HOELDER CLASS FOR BANACH SPACES (329K, PDF) Sep 20, 11

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Abstract. We consider a hyperbolic diffeomorphism in a Banach space with a hyperbolic fixed point 0 and a linear part $\Lambda$. We define $\sigma(\Lambda) \in (0,1]$, and prove that for any $lpha < \sigma(\Lambda)$ the diffeomorphism admits local $lpha$-Hoelder linearization.

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