- 00-480 Dovbysh S.A.
- Smooth nonautonomous normalizations for contractive mappings
(194K, AMS-TeX 2.1)
Dec 5, 00
(auto. generated ps),
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Abstract. The construction of smooth nonautonomous normalizations for a sequence of
contractive mappings is discussed which generalizes the recent construction
by M. Gyusinsky and A. Katok (Math. Res. Letters, 1998, v.5, no.1-2,
149-163). The associated Normal Form Theorem and
Semi-Centralizer Theorems for extensions of homeomorphisms on
compact spaces by smooth contraction mappings are considered.
The approach utilized is essentially geometrical and is based on the usual
tools of hyperbolic theory for mappings in Banach spaces.
Some remarks for the general case of formal normal forms without the
contractness assumption are also made.