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Interpolation of semigroups and integrated semigroups. (English) Zbl 0782.47035
Krein, Laptev and Cvetkova proved that any operator $$A$$ on a Banach space $$E$$, the resolvent of which contains a half-line, generates a $$C_ 0$$- semigroup on a certain maximal subspace $$Z$$ of $$E$$. Generally, no information about the size of $$Z$$ is available. The authors of the reviewed paper show that the interesting cases for which $$\text{dom}(A^ k)\subset Z$$ are characteristic for generators of $$k$$-times integrated semigroups.

##### MSC:
 47D06 One-parameter semigroups and linear evolution equations
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##### References:
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