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# Topics in Operator Semigroups

## Benefits

Concerned with the interplay between the theory of operator semigroups and spectral theory

The basics on operator semigroups are concisely covered in this self-contained text

Part I deals with the Hille--Yosida and Lumer--Phillips characterizations of semigroup generators, the Trotter--Kato approximation theorem, Kato’s unified treatment of the exponential formula and the Trotter product formula, the Hille--Phillips perturbation theorem, and Stone’s representation of unitary semigroups

Part II explores generalizations of spectral theory’s connection to operator semigroups

Suitable for a graduate seminar on operator semigroups or for self study

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Part of the Progress in Mathematics book series (PM, volume 281)