@article{CTGDC_2004__45_4_267_0,
author = {Fr\"olicher, Alfred},
title = {Axioms for convenient calculus},
journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
volume = {45},
year = {2004},
pages = {267-286},
mrnumber = {2108194},
zbl = {1076.46031},
language = {en},
url = {http://dml.mathdoc.fr/item/CTGDC_2004__45_4_267_0}
}
Frölicher, Alfred. Axioms for convenient calculus. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 45 (2004) pp. 267-286. http://gdmltest.u-ga.fr/item/CTGDC_2004__45_4_267_0/
[1] : Differentiability of a function and of its compositions with functions of one variable, Math. Scand. 20 (1967), 249-268. | MR 237728 | Zbl 0182.38302
[2] : Foundations of Modem Analysis, Academic Press, New York and London, 1960. | MR 120319 | Zbl 0100.04201
[3] : Sur un théorème de Boman, C. R. Acad. Sci. Paris Sér. I Math. 309 (1989), 1003-1006. | MR 1054522 | Zbl 0693.26010
[4] and : Hölder Differentiable Maps and their Function Spaces, Categorical Topology, World Scientific, Singapore 1989, 135-142. | MR 1047896
[5] and : The Uniform Boundedness Principle for Bomological Vector Spaces, Arch. Math. 62 (1994), 270-277. | MR 1259843 | Zbl 0792.46003
[6] : Applications lisses entre espaces et variétés de Fréchet, C.R. Acad. Sci.293 (1981), 125-127. | MR 637107 | Zbl 0471.46028
[7] and : Linear Spaces and Differentiation Theory, J. Wiley and Sons, Chichester, 1988. | MR 961256 | Zbl 0657.46034
[8] : Bornologies and Functional Analysis, North-Holland, 1977. | MR 500064
[9] and : The Convenient Setting of Global Analysis, Mathematical Surveys and Monographs Vol. 53, A. M. S. 1997. | MR 1471480 | Zbl 0889.58001