Some properties of (C,E,P)-algebras : Overgneration and 0-order estimates
Functional Analysis
2008-10-07 v1
Abstract
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)}.
Keywords
Cite
@article{arxiv.0810.0831,
title = {Some properties of (C,E,P)-algebras : Overgneration and 0-order estimates},
author = {Antoine Delcroix},
journal= {arXiv preprint arXiv:0810.0831},
year = {2008}
}
Comments
Note, 5 pages