| Cím: | Representations with regular norm-behaviour of discrete abelian semigroups. |
| Szerző: | K\'erchy, L\'aszl\'o |
| Forrás: | Acta Sci. Math. 65, No.3-4, 701-726 (1999). |
| Nyelv: | English |
| Absztrakt: | Summary: Extending former investigation on single operators with regular norm-sequences, representations of discrete Abelian semigroups are studied. It is shown that if the representation exhibits ``regular" norm-behaviour, then it can be related to an isometric representation, with useful containment properties between the corresponding spectra. As an application, a well-known stability theorem on bounded representations is extended to this general situation. |
| Letöltés: | | Zentralblatt |