Intersections of Fréchet Schwartz spaces and their duals
by
Jose Bonet
Universidad Politécnica de Valencia

Motivated by the continuation of regularity for solutions of partial differential operators, the structure of the spaces E \cap F, which are the intersection of a Fréchet-Schwartz space E and a (DFS)-space F endowed with the intersection topology, is studied. The intersection of the space of infinitely differentiable functions and its dual admits sequentially continuous forms which are not continuous. In general the space E \cap F is barrelled or bornological if and only if the space E + F is complete; and these properties are characterized in terms of a condition on the neighbourhoods of E and the bounded sets of F .

Date received: January 15, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caad-06.