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A note on Omori-Lie groups

Published online by Cambridge University Press:  17 April 2009

Sadayuki Yamamuro
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra, ACT.
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Abstract

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The theory of differentiation in locally convex spaces constructed by the author in Memoirs Amer. Math. Soc. 17 (1979) is used to give a new form of the definition of Omori-Lie groups.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1979

References

[1]Fischer, H.R., “Differentialrechnung in lokalkonvexen Räumen und Mannigfaltigkeiten von Abbildungen” (Manuskripte d. Fakultät für Math, und Informatik, Univ. Mannheim, Mannheim [1977]).Google Scholar
[2]Floret, Klaus, Wloka, Joseph, Einf¨hrung in die Theorie der lokalkonvexen Räume (Lecture Notes in Mathematics, 56. Springer-Verlag, Berlin, Heidelberg, New York, 1968).CrossRefGoogle Scholar
[3]Gelfand, I.M. und Schilow, G.E., Verallgemeinerte Funktionen (Distributionen ). II. Lineare topologische Räume, Räume von Grundfwiktionen und verallgemeinerten Funktionen (VEB Deutscher Verlag der Wissenschaften, Berlin, 1962).Google Scholar
[4]Horváth, John, Topological vector spaces and distributions, Volume I (Addison-Wesley, Reading, Massachusetts; Palo Alto; London; Don Mills, Ontario; 1966).Google Scholar
[5]Nghê, T.C. and Yamamuro, Sadayuki, “Locally convex spaces, differentiation and manifolds”, Comment. Math. Prace Mat. (to appear).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, A theory of differentiation in locally convex spaces (Memoirs of the American Mathematical Society, 17. American Mathematical Society, Providence, Rhode Island, 1979).Google Scholar