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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Yamamuro, Sadayuki 1983. On a functional differential equation in locally convex spaces. Bulletin of the Australian Mathematical Society, Vol. 27, Issue. 02, p. 269.
    Yamamuro, Sadayuki 1982. On the surjectivity of linear maps on locally convex spaces. Journal of the Australian Mathematical Society, Vol. 32, Issue. 02, p. 187.
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Notes on the inverse mapping theorem in locally convex spaces

  • Sadayuki Yamamuro (a1)
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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
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[1]Eells, James Jr., “A setting for global analysis”, Bull. Amer. Math. Soc. 72 (1966), 751–807.
[2]Fischer, H.R., “Differentialrechnung in lokalkonvexen Räumen und Mannigfaltigkeiten von Abbildungen” (Manuskripte d. Fakultät für Math, und Informatik, Universität Mannheim, Mannheim [1977]).
[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).
[4]Gutknecht, Jürg, “Die CΓ∞ Struktur auf der Diffeomorphismengruppe einer kompakten Mannigfaltigkeit” (Doctoral Dissertation, Eidgenossische Technische Hochschule, Zurich, 1977).
[5]Michael, E.A., Locally multiplicatively-convex topological algebra (Memoirs of the American Mathematical Society, 11. American Mathematical Society, Providence, Rhode Island, 1952).
[6]Omori, Hideki, Infinite dimensional Lie transformation groups (Lecture Notes in Mathematics, 427. Springer-Verlag, Berlin, Heidelberg, New York, 1974).
[7]Yamamuro, Sadayuki, Differential calculus in topological linear spaces (Lecture Notes in Mathematics, 374. Springer-Verlag, Berlin, Heidelberg, New York, 1974).
[8]Yamamuro, Sadayuki, “A differentiation in locally convex spaces”, Bull. Austral. Math. Soc. 12 (1975), 183–209.
[9]Yamamuro, Sadayuki, “A note on Omori-Lie groups”, Bull. Austral. Math. Soc. 19 (1978), 333–349.
[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).
[11]Yamamuro, Sadayuki, “A note on the omega lemma”, Bull. Austral. Math. Soc. 20 (1979), 421–435.
[12]Yoshida, Kosaku, Functional analysis (Die Grundlehren der Mathematischen Wissenschaften, 123. Springer-Verlag, Berlin, Heidelberg, New York, 1966).
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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