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Theorem of Sternberg-chen modulo Central Manifold for Banach Spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Rayskin, Victoria |
| Copyright Year | 2007 |
| Abstract | We consider C∞-diffeomorphisms on a Banach space with a fixed point 0. Suppose that these diffeomorphisms have C∞ non-contracting and non-expanding invariant manifolds, and formally conjugate along their intersection (the center). We prove that they admit local C∞ conjugation. In particular, subject to non-resonance condition, there exists a local C∞ linearization of the diffeomorphisms. It also follows that a family of germs with a hyperbolic linear part admits a C∞ linearization, which has C∞ dependence on the parameter of the linearizing family. The results are proved under the assumption that the Banach space allows a special extension of the maps. We discuss corresponding properties of Banach spaces. The proofs of this paper are based on the technique, developed in the works of G. Belitskii ([B1], [B2]). |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://rene.ma.utexas.edu/mp_arc/html/c/07/07-106.pdf |
| Alternate Webpage(s) | http://www.math.utexas.edu/mp_arc/c/07/07-106.pdf |
| Alternate Webpage(s) | http://www.ma.utexas.edu/mp_arc/mp_arc/c/07/07-106.pdf |
| Alternate Webpage(s) | https://www.ma.utexas.edu/mp_arc/c/07/07-106.pdf |
| Alternate Webpage(s) | http://rene.ma.utexas.edu/mp_arc/c/07/07-106.pdf |
| Alternate Webpage(s) | http://www.ma.utexas.edu/mp_arc/c/07/07-106.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Contract agreement Entity–relationship model Fixed point (mathematics) Fixed-Point Number Hospital admission Immunostimulating conjugate (antigen) Map Modulo operation Population Parameter Quaternions and spatial rotation Resonance Spaces manifold |
| Content Type | Text |
| Resource Type | Article |
