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Part of the book series: Birkhäuser Advanced Texts / Basler Lehrbücher ((BAT))

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Abstract

In this chapter and the following one, we introduce the basics about strongly continuous semigroups of operators on Hilbert spaces, which are also called operator semigroups for short. We concentrate on those aspects which are useful for the later chapters. As a result, there will be many glaring omissions of subjects normally found in the literature about semigroups. For example, we shall ignore analytic semigroups, compact semigroups, spectral mapping theorems and stability theory.

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© 2009 Birkhäuser Verlag AG

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(2009). Operator Semigroups. In: Observation and Control for Operator Semigroups. Birkhäuser Advanced Texts / Basler Lehrbücher. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8994-9_2

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