On embeddings of locally finite metric spaces into <i>l<sub>p</sub></i>
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Press inc Elsevier Science
Abstract
It is known that if finite subsets of a locally finite metric space M admit C-bilipschitz embeddings into l(p) (1 <= p <= infinity), then for every epsilon > 0, the space M admits a (C + epsilon)-bilipschitz embedding into l(p). The goal of this paper is to show that for p not equal 2, infinity this result is sharp in the sense that e cannot be dropped out of its statement. (C) 2019 Elsevier Inc. All rights reserved.
Description
Keywords
Distortion of a bilipschitz embedding, Isometric embedding, Locally finite metric space, Strictly convex Banach space
Turkish CoHE Thesis Center URL
Citation
2
WoS Q
Q2
Scopus Q
Q2
Source
Volume
474
Issue
1
Start Page
666
End Page
673