Geodesic
Negative results on the Nash-Moser theorem for Köthe sequences spaces and for spaces of ultradifferentiable functions.
Manuscripta mathematica, Tome 90 (1996) no. 2, pp. 465-478.

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Mots-clés : counterexample, Nash-Moser inverse function theorem, Köthe sequence spaces, spaces of ultradifferentiable functions of Beurling type, Gevrey classes 
@article{MM2_1996__90_2_156206,
     author = {Markus Poppenberg},
     title = {Negative results on the {Nash-Moser} theorem for {K\"othe} sequences spaces and for spaces of ultradifferentiable functions.},
     journal = {Manuscripta mathematica},
     pages = {465--478},
     publisher = {mathdoc},
     volume = {90},
     number = {2},
     year = {1996},
     zbl = {0871.46003},
     url = {http://geodesic.mathdoc.fr/item/MM2_1996__90_2_156206/}
}
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Markus Poppenberg. Negative results on the Nash-Moser theorem for Köthe sequences spaces and for spaces of ultradifferentiable functions.. Manuscripta mathematica, Tome 90 (1996) no. 2, pp. 465-478. http://geodesic.mathdoc.fr/item/MM2_1996__90_2_156206/