Ultrametric and non-locally convex analogues of the general curve lemma of convenient differential calculus
Abstract
The General Curve Lemma is a tool of Infinite-Dimensional Analysis, which enables refined studies of differentiability properties of mappings between real locally convex spaces. 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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- September 2006
- DOI:
- 10.48550/arXiv.math/0609040
- arXiv:
- arXiv:math/0609040
- Bibcode:
- 2006math......9040G
- Keywords:
-
- Mathematics - Functional Analysis;
- 26E15;
- 26E20;
- 26E30;
- 46A16;
- 46S10;
- 45T20
- E-Print:
- 23 pages, LaTeX