Bi-continuous operator semigroups from theory to applications Christian Budde

Format:

Book

Author/Creator:

Budde, Christian, author.

Series:

Frontiers in mathematics 1660-8054

Frontiers in Mathematics 1660-8054

Language:

English

Subjects (All):

Semigroups of operators.

Physical Description:

1 online resource

Place of Publication:

Cham Birkhäuser 2026

Summary:

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 techniques as well as perturbation theory, concluding with applications to networks, mean ergodicity and control systems. Each chapter includes illustrative examples to reinforce the theoretical concepts. Second, this work aims at supporting emerging researchers and doctoral students by offering a structured foundation for further investigation in operator semigroups. By synthesizing current knowledge, it provides a reference point for new research projects in this domain

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

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed May 27, 2026)

Other Format:

Print version Budde, Christian Bi-Continuous Operator Semigroups

ISBN:

9783032129482

3032129486

OCLC:

1592947007

Access Restriction:

Restricted for use by site license