Spherical completeness of the non-archimedean ring of Colombeau generalized numbers

Details Spherical completeness of the non-archimedean ring of Colombeau generalized numbers Spherical completeness of the non-archimedean ring of Colombeau generalized numbers

2006-04-23

arxiv.org/abs/math/0604495v2

Bulletin Inst. Math. Academia Sinica (New Series) Vol.2, No. 3, pp. 769-783 (2007)

Mathematics

General Mathematics

11 pages, parts rewritten, notation improved

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Spherical completeness of the non-archimedean ring of Colombeau generalized numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spherical completeness of the non-archimedean ring of Colombeau generalized numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spherical completeness of the non-archimedean ring of Colombeau generalized numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-120783