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Journal of Operator Theory

Volume 37, Issue 1, Winter 1997  pp. 111-120.

Stationary dense operators and generation of non-dense distribution semigroups

Authors: 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.

Keywords: Non-dense operators, spectrum, distribution semigroups.

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