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Journal of Lie Theory 11 (2001), No. 2, 427--440
Copyright Heldermann Verlag 2001

Trotter's Formula on Infinite Dimensional Lie Groups

Josef Teichmann
Institute of Financial and Actuarial Mathematics, Technical University, Wiedner Hauptstr. 8-10, 1040 Vienna, Austria

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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