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Distance between elements of a semigroup and estimates for derivatives

hal.structure.identifierMathématiques Pures
dc.contributor.authorBENDAOUD, Zohra
hal.structure.identifierInstitut Camille Jordan [ICJ]
dc.contributor.authorCHALENDAR, Isabelle
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorESTERLE, Jean
hal.structure.identifierSchool of Mathematics
dc.contributor.authorPARTINGTON, Jonathan R.
dc.date.accessioned2024-04-04T02:23:08Z
dc.date.available2024-04-04T02:23:08Z
dc.date.created2008
dc.date.issued2010-12
dc.identifier.issn1439-8516
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189707
dc.description.abstractEnThis 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.isoen
dc.publisherSpringer Verlag
dc.subject.enSemigroup of operators
dc.subject.enanalytic semigroup
dc.subject.enBanach algebras
dc.subject.ennon-quasinilpotent
dc.subject.enquasi- nilpotent
dc.title.enDistance between elements of a semigroup and estimates for derivatives
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
bordeaux.journalActa Mathematica Sinica English Series
bordeaux.page2239-2254
bordeaux.volume26
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue11
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00775957
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00775957v1
bordeaux.COinSctx_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


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