Topics In Operator Semigroups (progress In Mathematics)
by Shmuel Kantorovitz /
2009 / English / PDF
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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, Katos unified treatment of the exponential formula and the Trotter product formula, the Hille Phillips perturbation theorem, and Stones representation of unitary semigroups. Part II explores generalizations of spectral theorys connection to operator semigroups.
