
Journal of Lie Theory 11 (2001), No. 2, 427440 Copyright Heldermann Verlag 2001 Trotter's Formula on Infinite Dimensional Lie Groups Josef Teichmann Institute of Financial and Actuarial Mathematics, Technical University, Wiedner Hauptstr. 810, 1040 Vienna, Austria A theory for the solution of nonautonomous linear differential equations on convenient vector spaces is presented. The theory generalizes the HilleYosida theorem and several nonautonomous 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. [ Fulltextpdf (199 KB)] 