Autor: Shmuel Kantorovitz
ISBN-13: 9780817649319
Einband: Buch
Seiten: 266
Gewicht: 548 g
Format: 240x164x28 mm
Sprache: Englisch

Topics in Operator Semigroups

Progress in Mathematics
132,95 €*
Concerned with the interplay between the theory of operator semigroups and spectral theory
General Theory.- Basic Theory.- The Semi-Simplicity Space for Groups.- Analyticity.- The Semigroup as a Function of its Generator.- Large Parameter.- Boundary Values.- Pre-Semigroups.- Integral Representations.- The Semi-Simplicity Space.- The Laplace#x2013;Stieltjes Space.- Families of Unbounded Symmetric Operators.- A Taste of Applications.- Analytic Families of Evolution Systems.- Similarity.
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.
Autor: Shmuel Kantorovitz
ISBN-13 :: 9780817649319
ISBN: 081764931X
Erscheinungsjahr: 01.12.2009
Verlag: Springer Basel AG
Gewicht: 548g
Seiten: 266
Sprache: Englisch
Sonstiges: Buch, 240x164x28 mm