Full paper in PDF:
$%J. Teichmann, Hille-Yosida theory in convenient analysis, Rev. Mat. Complut. 15 (2002), no. 2, 449–474.%$

Hille-Yoshida Theory in Convenient Analysis
Josef TEICHMANN
Institut für Mathematik
Strudlhofgasse 4
1090 Wien — Austria

Received: Mayo 31, 2001
Revised: November 13, 2001

ABSTRACT

A Hille-Yoshida 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.

2000 Mathematics Subject Classification: 47D06, 34G10.