A Space Which Contains No Realcompact Dense Subspace
نویسندگان
چکیده
منابع مشابه
For a dense set of equivalent norms , a non - reflexive Banach space contains a triangle with no Chebyshev center
Let X be a non-reflexive real Banach space. Then for each norm | · | from a dense set of equivalent norms on X (in the metric of uniform convergence on the unit ball of X), there exists a three-point set that has no Chebyshev center in (X, | · |). This result strengthens theorems by Davis and Johnson, van Dulst and Singer, and Konyagin.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1983
ISSN: 0002-9939
DOI: 10.2307/2045132