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

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dc.creatorMayerhofer, Eberhard
dc.date2006-04-23
dc.date2007-08-31
dc.date.accessioned2026-07-07T09:20:19Z
dc.date.available2026-07-07T09:20:19Z
dc.descriptionWe 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.
dc.description11 pages, parts rewritten, notation improved
dc.identifierhttps://arxiv.org/abs/math/0604495
dc.identifierhttp://arxiv.org/abs/math/0604495
dc.identifierBulletin Inst. Math. Academia Sinica (New Series) Vol.2, No. 3, pp. 769-783 (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154685
dc.subjectGeneral Mathematics
dc.subject46F30
dc.titleSpherical completeness of the non-archimedean ring of Colombeau generalized numbers
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