Continuous extension of a densely parameterized semigroup
| dc.creator | Levy, Eliahu | |
| dc.creator | Shalit, Orr | |
| dc.date | 2007-11-07 | |
| dc.date | 2008-02-13 | |
| dc.date.accessioned | 2026-07-07T12:54:29Z | |
| dc.date.available | 2026-07-07T12:54:29Z | |
| dc.description | Let S be a dense sub-semigroup of the positive real numbers, and let X be a separable, reflexive Banach space. This note contains a proof that every weakly continuous contractive semigroup of operators on X over S can be extended to a weakly continuous semigroup over the positive real numbers. We obtain similar results for non-linear, non-expansive semigroups as well. As a corollary we characterize all densely parametrized semigroups which are extendable to semigroups over the positive real numbers. | |
| dc.description | 8 pages, minor modifications | |
| dc.identifier | https://arxiv.org/abs/0711.1006 | |
| dc.identifier | http://arxiv.org/abs/0711.1006 | |
| dc.identifier | Semigroup Forum, 78/2 (2009), 276-284 | |
| dc.identifier | doi:10.1007/s00233-008-9093-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223947 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47D03; 47H20 | |
| dc.title | Continuous extension of a densely parameterized semigroup | |
| dc.type | text |