Distance between elements of a semigroup and estimates for derivatives
| hal.structure.identifier | Mathématiques Pures | |
| dc.contributor.author | BENDAOUD, Zohra | |
| hal.structure.identifier | Institut Camille Jordan [ICJ] | |
| dc.contributor.author | CHALENDAR, Isabelle | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ESTERLE, Jean | |
| hal.structure.identifier | School of Mathematics | |
| dc.contributor.author | PARTINGTON, Jonathan R. | |
| dc.date.accessioned | 2024-04-04T02:23:08Z | |
| dc.date.available | 2024-04-04T02:23:08Z | |
| dc.date.created | 2008 | |
| dc.date.issued | 2010-12 | |
| dc.identifier.issn | 1439-8516 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189707 | |
| dc.description.abstractEn | This paper is concerned first with the behaviour of differences T (t) − T (s) near the origin, where (T(t)) is a semigroup of operators on a Banach space, defined either on the positive real line or a sector in the right half-plane (in which case it is assumed analytic). For the non-quasinilpotent case extensions of results in the published literature are provided, with best possible constants; in the case of quasinilpotent semigroups on the half-plane, it is shown that, in general, differences such as T (t)−T (2t) have norm approaching 2 near the origin. The techniques given enable one to derive estimates of other functions of the generator of the semigroup; in particular, conditions are given on the derivatives near the origin to guarantee that the semigroup generates a unital algebra and has bounded generator. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Semigroup of operators | |
| dc.subject.en | analytic semigroup | |
| dc.subject.en | Banach algebras | |
| dc.subject.en | non-quasinilpotent | |
| dc.subject.en | quasi- nilpotent | |
| dc.title.en | Distance between elements of a semigroup and estimates for derivatives | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Acta Mathematica Sinica English Series | |
| bordeaux.page | 2239-2254 | |
| bordeaux.volume | 26 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 11 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00775957 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00775957v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Acta%20Mathematica%20Sinica%20%20English%20Series&rft.date=2010-12&rft.volume=26&rft.issue=11&rft.spage=2239-2254&rft.epage=2239-2254&rft.eissn=1439-8516&rft.issn=1439-8516&rft.au=BENDAOUD,%20Zohra&CHALENDAR,%20Isabelle&ESTERLE,%20Jean&PARTINGTON,%20Jonathan%20R.&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||