On the Grobman-hartman Theorem in Α-hölder Class for Banach Spaces
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چکیده
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.
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تاریخ انتشار 2011