Journal of Operator Theory
Volume 37, Issue 1, Winter 1997 pp. 111-120.
Stationary dense operators and generation of non-dense distribution semigroupsAuthors: Peer C. Kunstmann
Author institution: Universitaet Karlsruhe, Mathematisches Institut I, Postfach 6980, Englerstr. 2, D-76128 Karlsruhe, GERMANY
Summary: We introduce the notion of stationary dense operators and show how they can be used to extend a result of V. Wrobel on the spectrum and generation theorems for distribution semigroups due to T. Ushijima and D. Fujiwara from densely defined operators to not necessarily densely defined operators. Other applications are sketched.
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