Some properties of (C,E,P)-algebras : Overgneration and 0-order estimates

dc.creatorDelcroix, Antoine
dc.date2008-10-05
dc.date.accessioned2026-07-07T10:07:45Z
dc.date.available2026-07-07T10:07:45Z
dc.descriptionWe 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)}.
dc.descriptionNote, 5 pages
dc.identifierhttps://arxiv.org/abs/0810.0831
dc.identifierhttp://arxiv.org/abs/0810.0831
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170749
dc.subjectFunctional Analysis
dc.subject35A20, 35A25, 35D05, 46F30, 46T30
dc.titleSome properties of (C,E,P)-algebras : Overgneration and 0-order estimates
dc.typetext

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