On the equivalence between coarse and uniform embeddability of quasi-Banach spaces into a Hilbert space

0447620 - MÚ 2016 RIV US eng J - Journal Article
Kraus, Michal
On the equivalence between coarse and uniform embeddability of quasi-Banach spaces into a Hilbert space.
Proceedings of the American Mathematical Society. Roč. 143, č. 11 (2015), s. 4835-4844. ISSN 0002-9939. E-ISSN 1088-6826
R&D Projects: GA ČR(CZ) GAP201/11/0345
Institutional support: RVO:67985840
Keywords : coarse embedding * uniform embedding * quasi-Banach space * Hilbert space
Subject RIV: BA - General Mathematics
Impact factor: 0.700, year: 2015
http://www.ams.org/journals/proc/2015-143-11/S0002-9939-2015-12626-3/

We give a direct proof of the fact that a quasi-Banach space coarsely embeds into a Hilbert space if and only if it uniformly embeds into a Hilbert space.
Permanent Link: http://hdl.handle.net/11104/0249418