PICARD-BOREL ALGEBRAS
| hal.structure.identifier | Université de Bordeaux [UB] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ESTERLE, Jean | |
| dc.date.accessioned | 2024-04-04T02:45:04Z | |
| dc.date.available | 2024-04-04T02:45:04Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191435 | |
| dc.description.abstractEn | A Picard-Borel algebra is a commutative, unital, complex algebra A such that every family (u λ) λ∈Λ of invertible elements of A which are pairwise linearly independent is linearly independent. A Picard-Borel algebra is said to be nontrivial if u / ∈ C1 for some invertible element u ∈ A. The algebra C[X] of complex polynomials is an obvious example of trivial Picard-Borel algebra, and results from the celebrated 1897 paper "Sur les zéros des fonctions entières" by E. Borel show that the algebra H(C) of entire functions on C is a Picard-Borel algebra. The main result of the paper shows that Picard-Borel algebras which are Fréchet algebras are integral domains. | |
| dc.language.iso | en | |
| dc.title.en | PICARD-BOREL ALGEBRAS | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Autre | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03381646 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03381646v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ESTERLE,%20Jean&rft.genre=preprint |
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