Lipschitz selections of the diametric completion mapping in Minkowski spaces
نویسندگان
چکیده
منابع مشابه
Lipschitz selections of the diametric completion mapping in Minkowski spaces
We develop a constructive completion method in general Minkowski spaces, which successfully extends a completion procedure due to Bückner in twoand three-dimensional Euclidean spaces. We prove that this generalized Bückner completion is locally Lipschitz continuous, thus solving the problem of finding a continuous selection of the diametric completion mapping in finite dimensional normed spaces...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2013
ISSN: 0001-8708
DOI: 10.1016/j.aim.2012.10.005