ULTRAMETRIC AND NON-LOCALLY CONVEX ANALOGUES OF THE GENERAL CURVE LEMMA OF CONVENIENT DIFFERENTIAL CALCULUS
Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 271-288
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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.
GLÖCKNER, HELGE. ULTRAMETRIC AND NON-LOCALLY CONVEX ANALOGUES OF THE GENERAL CURVE LEMMA OF CONVENIENT DIFFERENTIAL CALCULUS. Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 271-288. doi: 10.1017/S0017089508004199
@article{10_1017_S0017089508004199,
author = {GL\"OCKNER, HELGE},
title = {ULTRAMETRIC {AND} {NON-LOCALLY} {CONVEX} {ANALOGUES} {OF} {THE} {GENERAL} {CURVE} {LEMMA} {OF} {CONVENIENT} {DIFFERENTIAL} {CALCULUS}},
journal = {Glasgow mathematical journal},
pages = {271--288},
year = {2008},
volume = {50},
number = {2},
doi = {10.1017/S0017089508004199},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004199/}
}
TY - JOUR AU - GLÖCKNER, HELGE TI - ULTRAMETRIC AND NON-LOCALLY CONVEX ANALOGUES OF THE GENERAL CURVE LEMMA OF CONVENIENT DIFFERENTIAL CALCULUS JO - Glasgow mathematical journal PY - 2008 SP - 271 EP - 288 VL - 50 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004199/ DO - 10.1017/S0017089508004199 ID - 10_1017_S0017089508004199 ER -
%0 Journal Article %A GLÖCKNER, HELGE %T ULTRAMETRIC AND NON-LOCALLY CONVEX ANALOGUES OF THE GENERAL CURVE LEMMA OF CONVENIENT DIFFERENTIAL CALCULUS %J Glasgow mathematical journal %D 2008 %P 271-288 %V 50 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004199/ %R 10.1017/S0017089508004199 %F 10_1017_S0017089508004199
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