Éditeur(s) : HAL CCSD
Résumé : Note, 5 pages
We give a new definition of the so-called overgenerated rings, which are the usual tool used to define the asymptotic structure of a (C,E,P)-algebra, written as a factor space M_{(A,E,P)}/N_{(I_{A},E,P)}. With this new definition and in the particular case of E=C^{∞}, we show that a moderate element i.e. in M_{(A,E,P)} is negligible if and only if it satisfies the C⁰-order estimate for the ideal N_{(I_{A},E,P)}.
https://hal.archives-ouvertes.fr/hal-00326671

Droits : info:eu-repo/semantics/OpenAccess
hal-00326671
https://hal.archives-ouvertes.fr/hal-00326671
https://hal.archives-ouvertes.fr/hal-00326671/document
https://hal.archives-ouvertes.fr/hal-00326671/file/AustrianLemmaVer1.pdf
ARXIV : 0810.0831