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Embedding diffeomorphisms in flows in Banach spaces
Published online by Cambridge University Press: 01 August 2009
Abstract
This paper concerns the problem of embedding, in the flow of an autonomous vector field, a local diffeomorphism near a hyperbolic fixed point in a Banach space. To solve the problem, we first extend Floquet theory to Banach spaces, and then prove that two C∞ hyperbolic diffeomorphisms are formally equivalent if and only if they are C∞-equivalent. The latter result is a version, in the Banach space context, of a classical theorem by Chen.
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- Copyright © Cambridge University Press 2009
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