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Notes on the inverse mapping theorem in locally convex spaces
Published online by Cambridge University Press: 17 April 2009
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Several problems arising from a functional analytic study on Omori's inverse mapping theorem are considered arriving at an inverse mapping theorem in locally convex spaces.
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- Copyright © Australian Mathematical Society 1980
References
[1]Eells, James Jr., “A setting for global analysis”, Bull. Amer. Math. Soc. 72 (1966), 751–807.CrossRefGoogle Scholar
[2]Fischer, H.R., “Differentialrechnung in lokalkonvexen Räumen und Mannigfaltigkeiten von Abbildungen” (Manuskripte d. Fakultät für Math, und Informatik, Universität Mannheim, Mannheim [1977]).Google Scholar
[3]Gelfand, I.M. und Schilow, G.E., Verallgemeinerte Funktionen (Distributionen). II. Lineare Topologisehe Räumen, Räumen von Grundfunktionen und verallgemeinerten Funktionen (VED Deutscher Verlag der Wissenschaften, Berlin, 1962).Google Scholar
[4]Gutknecht, Jürg, “Die CΓ∞ Struktur auf der Diffeomorphismengruppe einer kompakten Mannigfaltigkeit” (Doctoral Dissertation, Eidgenossische Technische Hochschule, Zurich, 1977).Google Scholar
[5]Michael, E.A., Locally multiplicatively-convex topological algebra (Memoirs of the American Mathematical Society, 11. American Mathematical Society, Providence, Rhode Island, 1952).Google Scholar
[6]Omori, Hideki, Infinite dimensional Lie transformation groups (Lecture Notes in Mathematics, 427. Springer-Verlag, Berlin, Heidelberg, New York, 1974).CrossRefGoogle Scholar
[7]Yamamuro, Sadayuki, Differential calculus in topological linear spaces (Lecture Notes in Mathematics, 374. Springer-Verlag, Berlin, Heidelberg, New York, 1974).CrossRefGoogle Scholar
[8]Yamamuro, Sadayuki, “A differentiation in locally convex spaces”, Bull. Austral. Math. Soc. 12 (1975), 183–209.CrossRefGoogle Scholar
[9]Yamamuro, Sadayuki, “A note on Omori-Lie groups”, Bull. Austral. Math. Soc. 19 (1978), 333–349.CrossRefGoogle Scholar
[10]Yamamuro, Sadayuki, A theory of differentiation in locally convex spaces (Memoirs of the American Mathematical Society, 212. American Mathematical Society, Providence, Rhode Island, 1979).Google Scholar
[11]Yamamuro, Sadayuki, “A note on the omega lemma”, Bull. Austral. Math. Soc. 20 (1979), 421–435.CrossRefGoogle Scholar
[12]Yoshida, Kosaku, Functional analysis (Die Grundlehren der Mathematischen Wissenschaften, 123. Springer-Verlag, Berlin, Heidelberg, New York, 1966).Google Scholar
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