On the equivalence between coarse and uniform embeddability of quasi-Banach spaces into a Hilbert space
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- by Michal Kraus
- Proc. Amer. Math. Soc. 143 (2015), 4835-4844
- DOI: https://doi.org/10.1090/proc/12626
- Published electronically: April 13, 2015
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Abstract:
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.References
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Bibliographic Information
- Michal Kraus
- Affiliation: Pohang Mathematics Institute, Pohang University of Science and Technology, San 31 Hyoja Dong, Nam-Gu, Pohang 790-784, Republic of Korea
- Address at time of publication: Institute of Mathematics AS CR, Žitná 25, 115 67, Praha 1, Czech Republic
- Email: mkraus@karlin.mff.cuni.cz
- Received by editor(s): September 4, 2013
- Received by editor(s) in revised form: September 8, 2014
- Published electronically: April 13, 2015
- Additional Notes: This work was supported by the Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (Project No. 2012047640), and by the grants GAČR 201/11/0345 and PHC Barrande 2012-26516YG
- Communicated by: Thomas Schlumprecht
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 4835-4844
- MSC (2010): Primary 46B20; Secondary 51F99
- DOI: https://doi.org/10.1090/proc/12626
- MathSciNet review: 3391041