Perturbations of bi-continuous semigroups

Bálint Farkas

Studia Mathematica (2004)

  • Volume: 161, Issue: 2, page 147-161
  • ISSN: 0039-3223

Abstract

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The notion of bi-continuous semigroups has recently been introduced to handle semigroups on Banach spaces that are only strongly continuous for a topology coarser than the norm-topology. In this paper, as a continuation of the systematic treatment of such semigroups started in [20-22], we provide a bounded perturbation theorem, which turns out to be quite general in view of various examples.

How to cite

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Bálint Farkas. "Perturbations of bi-continuous semigroups." Studia Mathematica 161.2 (2004): 147-161. <http://eudml.org/doc/284892>.

@article{BálintFarkas2004,
abstract = {The notion of bi-continuous semigroups has recently been introduced to handle semigroups on Banach spaces that are only strongly continuous for a topology coarser than the norm-topology. In this paper, as a continuation of the systematic treatment of such semigroups started in [20-22], we provide a bounded perturbation theorem, which turns out to be quite general in view of various examples.},
author = {Bálint Farkas},
journal = {Studia Mathematica},
keywords = {bounded perturbation; non-strongly continuous semigroups; bi-continuous semigroups; equicontinuous semigroups},
language = {eng},
number = {2},
pages = {147-161},
title = {Perturbations of bi-continuous semigroups},
url = {http://eudml.org/doc/284892},
volume = {161},
year = {2004},
}

TY - JOUR
AU - Bálint Farkas
TI - Perturbations of bi-continuous semigroups
JO - Studia Mathematica
PY - 2004
VL - 161
IS - 2
SP - 147
EP - 161
AB - The notion of bi-continuous semigroups has recently been introduced to handle semigroups on Banach spaces that are only strongly continuous for a topology coarser than the norm-topology. In this paper, as a continuation of the systematic treatment of such semigroups started in [20-22], we provide a bounded perturbation theorem, which turns out to be quite general in view of various examples.
LA - eng
KW - bounded perturbation; non-strongly continuous semigroups; bi-continuous semigroups; equicontinuous semigroups
UR - http://eudml.org/doc/284892
ER -

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