Geodesic
Trotter's Formula on Infinite Dimensional Lie Groups
Journal of Lie theory, Tome 11 (2001) no. 2, pp. 427-44.

Voir la notice de l'article provenant de la source Heldermann Verlag

A theory for the solution of non-autonomous linear differential equations on convenient vector spaces is presented. The theory generalizes the Hille-Yosida theorem and several non-autonomous versions of it. It is special feature of the theory, that the conditions can be applied in the case of locally convex spaces, which are not well understood from a functional analytic point of view. The main application is the investigation of a sufficient condition for the existence of exponential and evolution mappings on infinite dimensional Lie groups. 
@article{JLT_2001_11_2_JLT_2001_11_2_a7,
     author = {J. Teichmann },
     title = {Trotter's {Formula} on {Infinite} {Dimensional} {Lie} {Groups}},
     journal = {Journal of Lie theory},
     pages = {427--44},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2001},
     url = {http://geodesic.mathdoc.fr/item/JLT_2001_11_2_JLT_2001_11_2_a7/}
}
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J. Teichmann . Trotter's Formula on Infinite Dimensional Lie Groups. Journal of Lie theory, Tome 11 (2001) no. 2, pp. 427-44. http://geodesic.mathdoc.fr/item/JLT_2001_11_2_JLT_2001_11_2_a7/