CO-Groups on Sequentially Complete, Locally Convex, Topological Vector Spaces inParticular on Strict LF-Spaces

摘要

In this report we develop the theory of C(sub 0)-groups (Pi(sub t)), t a memberof R, on locally convex, sequentially complete, topological vector spaces V. We prove that under mild conditions on the locally convex topology of V the infinitesimal generator delta (sub pi) of the C(sub 0)-group is closed as well as the operators q (delta (sub pi)) with their natural domain where q denotes any polynomial.