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The results of this paper have been obtained during a visit of the second author at the Univ. of Göttingen
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Krengel, U., Lin, M. On the range of the generator of a Markovian semigroup. Math Z 185, 553–565 (1984). https://doi.org/10.1007/BF01236264
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DOI: https://doi.org/10.1007/BF01236264