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Bi-continuous operator semigroups : from theory to applications /

This monograph serves two primary purposes. First, it provides a comprehensive treatment of bi-continuous semigroup theory and its applications, ranging from network theory to control theory. The exposition proceeds systematically from fundamental theory through approximation methods, extrapolation...

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Bibliographic Details
Main Author: Budde, Christian (Author)
Format: eBook
Language:English
Published: Cham : Birkhäuser, 2026.
Series:Frontiers in mathematics,
Subjects:
Semigroups of operators.
Semi-groupes d'opérateurs.
Electronic books.
Table of Contents:
  • Introduction
  • 1 An excursion on C0-semigroups
  • 2 Bi-Continuous Semigroups: Preliminaries and Examples
  • 3 The generator of bi-continuous semigroups
  • 4 General Intermediate and Extrapolated Spaces
  • 5 Intermediate and Extrapolation Spaces for Bi-Continuous Semigroups
  • 6 Approximation of bi-continuous semigroups
  • 7 Bounded and Miyadera-Voigt perturbations
  • 8 Desch-Schappacher perturbations of bi-continuous semigroups
  • 9 Bi-continuous Semigroups for Flows on Infinite Networks
  • 10 Mean ergodic bi-continuous semigroups
  • 11 Bi-continuous semigroups in control theory
  • A The mixed topology
  • B Riesz spaces and Banach lattices
  • Bibliography.