Abstract
In this chapter we continue to study the connection between semigroups and their generators. We characterize generators by the properties of their resolvents. As an important byproduct, we derive a characterization of positive semigroups by the positivity of the resolvent. This is a fundamental result and will be frequently used in the sequel.
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Bátkai, A., Fijavž, M.K., Rhandi, A. (2017). Generation Properties. In: Positive Operator Semigroups. Operator Theory: Advances and Applications, vol 257. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42813-0_11
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DOI: https://doi.org/10.1007/978-3-319-42813-0_11
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-42811-6
Online ISBN: 978-3-319-42813-0
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