On quasi-contractivity of $C_0$-semigroups on Banach spaces
| dc.creator | Matolcsi, Mate | |
| dc.date | 2006-11-30 | |
| dc.date.accessioned | 2026-07-07T07:33:31Z | |
| dc.date.available | 2026-07-07T07:33:31Z | |
| dc.description | A basic result in semigroup theory states that every $C_0$-semigroup is quasi-contractive with respect to some appropriately chosen equivalent norm. This paper contains a counterpart of this well-known fact. Namely, by examining the convergence of the Trotter-type formula $(e^{\frac{t}{n}A}P)^n$ (where $P$ denotes a bounded projection), we prove that whenever the generator $A$ is unbounded it is possible to introduce an equivalent norm on the space with respect to which the semigroup is {\it{not}} quasi-contractive. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611935 | |
| dc.identifier | http://arxiv.org/abs/math/0611935 | |
| dc.identifier | Arch. Math. (Basel) 83 (2004), no. 4, 360--363 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119484 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47D06, 47A05 | |
| dc.title | On quasi-contractivity of $C_0$-semigroups on Banach spaces | |
| dc.type | text |