Representations with regular norm-behaviour of locally compact abelian semigroups
Volume 183 / 2007
Studia Mathematica 183 (2007), 143-160
MSC: Primary 47D03.
DOI: 10.4064/sm183-2-4
Abstract
We prove that some regularity conditions on unbounded representations of topological abelian semigroups with countable spectral conditions induce a certain stability result extending the well-known Arendt–Batty–Lyubich–Vũ theorem.