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ULTRAMETRIC AND NON-LOCALLY CONVEX ANALOGUES OF THE GENERAL CURVE LEMMA OF CONVENIENT DIFFERENTIAL CALCULUS

Published online by Cambridge University Press:  01 May 2008

HELGE GLÖCKNER
HELGE GLÖCKNER*
Affiliation:
Universität Paderborn, Institut für Mathematik, Warburger Str. 100, 33098 Paderborn, Germany e-mail: glockner@math.uni-paderborn.de
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Abstract

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The General Curve Lemma is a tool of Infinite-Dimensional Analysis that enables refined studies of differentiability properties of maps between real locally convex spaces to be made. In this article, we generalize the General Curve Lemma in two ways. First, we remove the condition of local convexity in the real case. Second, we adapt the lemma to the case of curves in topological vector spaces over ultrametric fields.

Keywords

26E1526E2026E3045T2046A1646S10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 2 , May 2008 , pp. 271 - 288
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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