Metric characterizations of Banach and Euclidean spaces
نویسندگان
چکیده
منابع مشابه
Different forms of metric characterizations of classes of Banach spaces
For each sequence {Xm}m=1 of finite-dimensional Banach spaces there exists a sequence {Hn}n=1 of finite connected unweighted graphs with maximum degree 3 such that the following conditions on a Banach space Y are equivalent: • Y admits uniformly isomorphic embeddings of {Xm}m=1. • Y admits uniformly bilipschitz embeddings of {Hn}n=1. 2010 Mathematics Subject Classification: Primary: 46B07; Seco...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1964
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-55-1-23-55