Perturbations of bi-continuous semigroups

• Autorzy: Bálint Farkas
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 47A55: Perturbation theory
• 46A03: General theory of locally convex spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 161
• Numer: 2
• Strony: 147-161

Daty

wydano

2004

Twórcy

autor

Bálint Farkas

• Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
• Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13-15, H-1053 Budapest, Hungary

Identyfikatory

DOI

10.4064/sm161-2-3