Spherical completeness of the non-archimedean ring of Colombeau generalized numbers
Eberhard Mayerhofer
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.
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