Abstract
A Hartman-Grobman result for noninvertible mappings is proved. It is assumed that the spectrum of the linearized mapping contains zero but is disjoint from the complex unit circle. In the infinite-dimensional case, additional spectral conditions are assumed. These additional conditions are satisfied if the linearized mapping is completely continuous. The proof combines Hartman'sC1 linearization method for contractive mappings [10] with our previous result [1] on linearization of the expanding part.
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