Topics in Operator Semigroups (Progress in Mathematics 281 2010 ed.)

Topics in Operator Semigroups (Progress in Mathematics 281 2010 ed.)

By: Shmuel Kantorovitz (author)Hardback

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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, 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.


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.

Product Details

  • ISBN13: 9780817649319
  • Format: Hardback
  • Number Of Pages: 266
  • ID: 9780817649319
  • weight: 1270
  • ISBN10: 081764931X
  • edition: 2010 ed.

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