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A doubling subset of $L_p$ for $p>2$ that is inherently infinite dimensional

Authors :
Lafforgue, Vincent
Naor, Assaf
Publication Year :
2013

Abstract

It is shown that for every $p\in (2,\infty)$ there exists a doubling subset of $L_p$ that does not admit a bi-Lipschitz embedding into $\R^k$ for any $k\in \N$.

Subjects

Subjects :
Mathematics - Metric Geometry
Mathematics - Functional Analysis

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1308.4554
Document Type :
Working Paper

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