Negative results on the Nash-Moser theorem for Köthe sequence spaces and for spaces of ultradifferentiable functions |
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| Authors: | Markus Poppenberg |
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| Affiliation: | 1. Fachbereich Mathematik, Universit?t Dortmund, Postfach 500500, D-44221, Dortmund, Germany
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| Abstract: | Counterexamples to the Nash-Moser inverse function theorem are given for Köthe sequence spaces extending a result of Lojasiewicz and Zehnder. As an application also negative results are obtained for spaces of ultradifferentiable functions of Beurling type, in particular for the Gevrey classes. |
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