Partial linearization for noninvertible mappings |
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| Authors: | Bernd Aulbach Barnabas M Garay |
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| Institution: | (1) Dept of Mathematics, University of Augsburg, D-86135 Augsburg, Germany;(2) Dept of Mathematics, University of Technology, Muegyetem rkp. 3-9, H-1521 Budapest, Hungary |
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| 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'sC
1 linearization method for contractive mappings 10] with our previous result 1] on linearization of the expanding part.The paper was written while the second author was an Alexander-von-Humboldt Research Fellow in the Mathematical Institute of the University of Augsburg, Germany. |
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