Topics in Operator Semigroups
Author | : Shmuel Kantorovitz |
Publisher | : Springer Science & Business Media |
Total Pages | : 269 |
Release | : 2009-10-22 |
Genre | : Mathematics |
ISBN | : 0817649328 |
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This monograph is 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.