A short proof of the zero-two law for cosine functions
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ESTERLE, Jean | |
| dc.date.accessioned | 2024-04-04T03:18:32Z | |
| dc.date.available | 2024-04-04T03:18:32Z | |
| dc.date.created | 2015-05-01 | |
| dc.date.issued | 2015-10 | |
| dc.identifier.issn | 0003-889X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194414 | |
| dc.description.abstractEn | Let $(C(t))_{t\in \R}$ be a cosine function in a unital Banach algebra. We give a simple proof of the fact that if lim sup$_{t\to 0}\Vert C(t)-1_A\Vert<2,$ then lim sup$_{t\to 0}\Vert C(t)-1_A\Vert=0.$ | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | 47D09 | |
| dc.subject.en | Secondary 26A99 | |
| dc.subject.en | commutative local Banach algebra AMS classification : Primary 46J45 | |
| dc.subject.en | Cosine function | |
| dc.subject.en | scalar cosine function | |
| dc.title.en | A short proof of the zero-two law for cosine functions | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 1505.06065 | |
| bordeaux.journal | Archiv der Mathematik | |
| bordeaux.page | 381-387 | |
| bordeaux.volume | 105 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01147799 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01147799v1 | |
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