论文信息 - ON THE GROBMAN-HARTMAN THEOREM IN α-HÖLDER CLASS FOR BANACH SPACES

ON THE GROBMAN-HARTMAN THEOREM IN α-HÖLDER CLASS FOR BANACH SPACES

We consider a hyperbolic diffeomorphism in a Banach space with a hyperbolic fixed point 0 and a linear part Λ. We define σ(Λ) ∈ (0, 1], and prove that for any α < σ(Λ) the diffeomorphism admits local α-Hölder linearization.

G. Belitskii | Victoria Rayskin

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