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.
- ISBN13 9780817649319
- Publish Date 1 December 2009
- Publish Status Active
- Publish Country US
- Imprint Birkhauser Boston Inc
- Edition 2010 ed.
- Format Hardcover
- Pages 266
- Language English