Spherical completeness of the non-archimedean ring of Colombeau generalized numbers
General Mathematics
2008-02-13 v2
Abstract
We show spherical completeness of the ring of Colombeau generalized real (or complex) numbers endowed with the sharp norm. As an application, we establish a Hahn Banach extension theorem for ultra pseudo normed modules (over the ring of generalized numbers) of generalized functions in the sense of Colombeau.
Keywords
Cite
@article{arxiv.math/0604495,
title = {Spherical completeness of the non-archimedean ring of Colombeau generalized numbers},
author = {Eberhard Mayerhofer},
journal= {arXiv preprint arXiv:math/0604495},
year = {2008}
}
Comments
11 pages, parts rewritten, notation improved