l~p (p > 2) does not coarsely embed into a Hilbert space

By William B. Johnson, N. Randrianarivony. 2004

82 citations recorded by the source corpus.

We show that a Banach space with a normalized symmetric basis behaving like that of lp (p > 2) cannot coarsely embed into a Hilbert space.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4f628df85ea60e9036931f89399f8c4d0abf7d79

How researchers see this paper

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In Applied Mathematics

1. G. Lancien
2. Gilles Godefroy
3. V. Zizler
4. A. Dalet

In Mathematical Physics

1. G. Lancien
2. Gilles Godefroy
3. V. Zizler
4. A. Dalet

Citations in the corpus

• The non-linear geometry of Banach spaces after Nigel Kalton (2012, background): “Note that the important stable Banach space L 1 coarsely embeds into the Hilbert space [50],[77].”