Topics in operator semigroups

Author(s)

• Kantorovitz, Shmuel

Bibliographic Information

Topics in operator semigroups

Shmuel Kantorovitz

（Progress in mathematics, v. 281）

Birkhäuser, c2010

Note

Includes bibliographical references (p. [253]-261) and index

Description and Table of Contents

Description

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.

Table of Contents

• 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.

by "Nielsen BookData"

Details

• NCID: BB0044707X
• ISBN:
  • 9780817649319
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Boston, Mass.
• Pages/Volumes: xiii, 266 p.
• Size: 25 cm
• Classification:
  • DC22 : 512.27
• Subject Headings:
  • LCSH : Semigroups of operators
  • LCSH : Spectral theory (Mathematics)
• Parent Bibliography ID:
  • BA00018010