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

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

2008-10-05

arxiv.org/abs/0810.0831v1

Mathematics

Functional Analysis

Note, 5 pages

Scientific paper

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)}.

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