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Journal of Lie Theory, Vol. 11, No. 2, pp. 427-440 (2001)
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Trotter's formula on infinite dimensional Lie groups

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Josef Teichmann

Josef Teichmann

Institute for financial and actuarial mathematics

Technical University of Vienna

Wiedner Hauptstrasse 8-10

A-1040 Vienna

Austria

josef.teichmann@fam.tuwien.ac.at

www.fam.tuwien.ac.at/ jteichma

**Abstract:** 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.

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