Journal of Lie Theory

no. 2
Trotter's Formula on Infinite Dimensional Lie Groups
Journal of Lie Theory, Volume 11 (2001) no. 2, pp. 427-440
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.
DOI: 10.5802/jolt.240
Classification: 22E65
Keywords: linear differential equations, Hille-Yosida theorem, infinite dimensional Lie groups 
@article{JOLT_2001_11_2_a7,
     author = {J. Teichmann},
     title = {Trotter's {Formula} on {Infinite} {Dimensional} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {427--440},
     year = {2001},
     volume = {11},
     number = {2},
     doi = {10.5802/jolt.240},
     zbl = {0980.22022},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.240/}
}
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J. Teichmann. Trotter's Formula on Infinite Dimensional Lie Groups. Journal of Lie Theory, Volume 11 (2001) no. 2, pp. 427-440. doi: 10.5802/jolt.240

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