Bounded cosine functions close to continuous scalar bounded cosine functions
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ESTERLE, Jean | |
| dc.date.accessioned | 2024-04-04T03:18:31Z | |
| dc.date.available | 2024-04-04T03:18:31Z | |
| dc.date.created | 2015-02-07 | |
| dc.date.issued | 2016 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194413 | |
| dc.description.abstractEn | Let $(C(t))_{t \in R}$ be a cosine function in a unital Banach algebra. We show that if $sup_{t\in R}\Vert C(t)-cos(t)\Vert < 2$ for some continuous scalar bounded cosine function $(c(t))_{t\in \R},$ then the closed subalgebra generated by $(C(t))_{t\in R}$ is isomorphic to $\C^k$ for some positive integer $k.$ If, further, $sup_{t\in \R}\Vert C(t)-cos(t)\Vert < {8\over 3\sqrt 3},$ or if $c(t)=I$, then $C(t)=c(t)$ for $t\in R.$ | |
| dc.language.iso | en | |
| dc.subject.en | scalar cosine function | |
| dc.subject.en | Secondary 26A99 | |
| dc.subject.en | 47D09 | |
| dc.subject.en | commutative local Banach algebra AMS classification : Primary 46J45 | |
| dc.subject.en | Cosine function | |
| dc.title.en | Bounded cosine functions close to continuous scalar bounded cosine functions | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 1502.00150 | |
| bordeaux.journal | Integral Equations Operator Theory | |
| bordeaux.page | 347-357 | |
| bordeaux.volume | 85 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01111839 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01111839v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Integral%20Equations%20Operator%20Theory&rft.date=2016&rft.volume=85&rft.issue=3&rft.spage=347-357&rft.epage=347-357&rft.au=ESTERLE,%20Jean&rft.genre=article |
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