Geodesic
An Inverse Mapping Theorem in Frechet Spaces
Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 238-245

Voir la notice de l'article provenant de la source Cambridge University Press

Within the framework of a-differentiability, introduced by H. R. Fischer in locally convex spaces, sufficient conditions for an inverse mapping theorem between Fréchet spaces are established.
DOI : 10.4153/CMB-1986-038-6
Mots-clés : Primary 58C20, Secondary 46A06 
Gautrin, Henri-François; Imam, Khaldoun; Klemola, Tapio; Terrier, Jean-Marc. An Inverse Mapping Theorem in Frechet Spaces. Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 238-245. doi: 10.4153/CMB-1986-038-6
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[1] 1. Cartan, H., Cours de calcul différentiel, Hermann, Paris. Google Scholar

[2] 2. Fischer, H.R., Differentialrechnung in lokalkonvexen Râumen und Mannigfaltigkeiten von Abbildungen, Manuskript der Fakultàt fur Mathematik und Informatik, Universitàt Mannheim, Mannheim 1977. Google Scholar

[3] 3. Hamilton, R.S., The inverse function theorem of Nash and Moser, Bulletin of the American Mathematical Society, Vol. 7 (1982), pp. 65–222. Google Scholar

[4] 4. Lojasiewicz, S., Inverse function theorem, Zeszyty Naukowe Uniwersytetu Jagiellonskiego, Vol. 441 (1977), pp. 7–9. Google Scholar

[5] 5. Lojasiewicz, S. and Zehnder, E., An inverse function theorem in Fréchet spaces, Journal of Functional Analysis, Vol. 33 (1979), pp. 165–174. Google Scholar

[6] 6. Omori, H., Infinite dimensional Lie transformation groups, Lectures Notes in Mathematics, 427, Springer Verlag, 1974. Google Scholar

[7] 7. Yamamuro, S., Notes on the inverse mapping theorem in locally convex spaces, Bulletin of the Australian Mathematical Society, Vol. 21 (1980), pp. 419–461. Google Scholar

[8] 8. Yamamuro, S., Differential calculus in topological linear spaces, Lectures Notes in Mathematics, 374, Springer Verlag, 1974. Google Scholar

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