@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] Hölder Differentiable Maps and their Function Spaces, Categorical Topology, World Scientific, Singapore 1989, 135-142. | MR 1047896
and :[5] The Uniform Boundedness Principle for Bomological Vector Spaces, Arch. Math. 62 (1994), 270-277. | MR 1259843 | Zbl 0792.46003
and :[6] Applications lisses entre espaces et variétés de Fréchet, C.R. Acad. Sci.293 (1981), 125-127. | MR 637107 | Zbl 0471.46028
:[7] Linear Spaces and Differentiation Theory, J. Wiley and Sons, Chichester, 1988. | MR 961256 | Zbl 0657.46034
and :[8] Bornologies and Functional Analysis, North-Holland, 1977. | MR 500064
:[9] The Convenient Setting of Global Analysis, Mathematical Surveys and Monographs Vol. 53, A. M. S. 1997. | MR 1471480 | Zbl 0889.58001
and :