2007 / September Volume 2 No.3
Spherical completeness of the non-archimedean ring of colombeau generalized numbers
| Published Date |
2007 / September
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|---|---|
| Title | Spherical completeness of the non-archimedean ring of colombeau generalized numbers |
| Author | |
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| Pagination | 769-783 |
| Abstract | We show spherical completeness of the ring of Colombeau generalized real numbers endowed with the sharp norm. As an application, we establish a Hahn-Banach extension theorem for ultra-pseudo-normed modules of generalized functions in the sense of Colombeau.
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| AMS Subject Classification |
46F30
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| Received |
2006-09-25
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