Isometric embedding of finite ultrametric spaces in Banach spaces

Stanislav Shkarin

doi:10.1016/j.topol.2003.12.002

Isometric embedding of finite ultrametric spaces in Banach spaces

Stanislav Shkarin

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We prove that for any finite ultrametric space M and any infinite-dimensional Banach space B there exists an isometric embedding of M into B.

Original language	English
Pages (from-to)	13-17
Number of pages	5
Journal	Topology and its Applications
Volume	142
Issue number	1-3
DOIs	https://doi.org/10.1016/j.topol.2003.12.002
Publication status	Published - 28 Jul 2004

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.topol.2003.12.002

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title = "Isometric embedding of finite ultrametric spaces in Banach spaces",

abstract = "We prove that for any finite ultrametric space M and any infinite-dimensional Banach space B there exists an isometric embedding of M into B.",

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Isometric embedding of finite ultrametric spaces in Banach spaces

Abstract

ASJC Scopus subject areas

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