11-134 Genrich Belitskii and Victoria Rayskin
ON THE GROBMAN-HARTMAN THEOREM IN lpha-HOELDER CLASS FOR BANACH SPACES (329K, PDF) Sep 20, 11
Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

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.

Files: 11-134.src( 11-134.keywords , Ctat_sept15.pdf.mm )