Isometric embedding of finite ultrametric spaces in Banach spaces
نویسندگان
چکیده
منابع مشابه
Banach Spaces Embedding Into
Our main result in this paper is that a Banach space X embeds into L, if and only if l~(X) embeds into Lo; more generally if 1 _-< p < 2, X embeds into Lp if and only if lp (X) embeds into L~,.
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For 0 < p < 1 we give examples of Banach spaces isometrically embedding into Lp but not into any Lr with p < r ≤ 1.
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متن کاملRamsey degrees of finite ultrametric spaces, ultrametric Urysohn spaces and dynamics of their isometry groups
We study Ramsey-theoretic properties of several natural classes of finite ultrametric spaces, describe the corresponding Urysohn spaces and compute a dynamical invariant attached to their isometry groups.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2004
ISSN: 0166-8641
DOI: 10.1016/j.topol.2003.12.002