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.
- ISBN:
- 9780817649319
- 9780817649319
-
Category:
- Groups & group theory
- Format:
- Hardback
- Publication Date:
-
01-12-2009
- Language:
- English
- Publisher:
- Birkhauser Boston Inc
- Country of origin:
- United States
- Pages:
- 266
- Dimensions (mm):
- 235x155x17mm
- Weight:
- 1.27kg
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