On the relation of closed forms and Trotter's product formula
| 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 | The aim of this paper is to give a characterization in Hilbert spaces of the generators of $C_0$-semigroups associated with closed, sectorial forms in terms of the convergence of a generalized Trotter's product formula. In the course of the proof of the main result we also present a similarity result which can be of independent interest: for any unbounded generator $A$ of a $C_0$-semigroup $e^{tA}$ it is possible to introduce an equivalent scalar product on the space, such that $e^{tA}$ becomes non-quasi-contractive with respect to the new scalar product. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611933 | |
| dc.identifier | http://arxiv.org/abs/math/0611933 | |
| dc.identifier | J. Funct. Anal. 205 (2003), no. 2, 401--413 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119482 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47D06, 47A07 | |
| dc.title | On the relation of closed forms and Trotter's product formula | |
| dc.type | text |