A Hille-Yosida Theorem is proved on convenient vector spaces, a class, which contains all sequentially complete locally convex spaces. The approach is governed by convenient analysis and the credo that many reasonable questions concerning strongly continuous semigroups can be proved on the subspace of smooth vectors. Examples from literature are reconsidered by these simpler methods and some applications to the theory of infinite dimensional heat equations are given.
@article{urn:eudml:doc:44369,
title = {Hille-Yosida theory in convenient analysis.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {15},
year = {2002},
pages = {449-474},
zbl = {1041.47025},
mrnumber = {MR1951821},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44369}
}
Teichmann, Josef. Hille-Yosida theory in convenient analysis.. Revista Matemática de la Universidad Complutense de Madrid, Tome 15 (2002) pp. 449-474. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44369/