Topics in Operator Semigroups
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2009 | Science & Mathematics
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.
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| Published by | Birkhauser Boston Inc | 
| Edition | Unknown | 
| ISBN | 9780817649319 | 
| Language | N/A | 
            
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