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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm183-2-4, author = {L\'aszl\'o K\'erchy and Zolt\'an L\'eka}, title = {Representations with regular norm-behaviour of locally compact abelian semigroups}, journal = {Studia Mathematica}, volume = {178}, year = {2007}, pages = {143-160}, zbl = {1132.47030}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm183-2-4} }
László Kérchy; Zoltán Léka. Representations with regular norm-behaviour of locally compact abelian semigroups. Studia Mathematica, Tome 178 (2007) pp. 143-160. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm183-2-4/