Topics in Operator Semigroups
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<P>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.</P>
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- Autor: Shmuel Kantorovitz
- Seitenzahl: 266
- Format: PDF
- DRM: social-drm (ohne Kopierschutz)
- Erscheinungsdatum: 22.10.2009
- Herausgeber: BIRKHÄUSER