A direct proof that ℓ∞(3) has generalized roundness zero

Citation data:

Expositiones Mathematicae, ISSN: 0723-0869, Vol: 33, Issue: 2, Page: 259-267

Publication Year:
2015
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Repository URL:
http://researchbank.acu.edu.au/fea_pub/2741; http://arxiv.org/abs/1401.4095
DOI:
10.1016/j.exmath.2014.06.001
Author(s):
Doust, Ian; Sánchez, Stephen; Weston, Anthony
Publisher(s):
Elsevier BV
Tags:
Mathematics; Mathematics - Functional Analysis; 46B20
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article description
Metric spaces of generalized roundness zero have interesting non-embedding properties. For instance, we note that no metric space of generalized roundness zero is isometric to any metric subspace of any Lp -space for which 0