Equilateral sets in the ℓ1 sum of Euclidean spaces

Lin, Aaron (2020) Equilateral sets in the ℓ1 sum of Euclidean spaces. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 61 (1). pp. 151-155. ISSN 0138-4821

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Abstract

Let En denote the (real) n-dimensional Euclidean space. It is not known whether an equilateral set in the ℓ1 sum of Ea and Eb , denoted here as Ea⊕1Eb , has maximum size at least dim(Ea⊕1Eb)+1=a+b+1 for all pairs of a and b. We show, via some explicit constructions of equilateral sets, that this holds for all a⩽27 , as well as some other instances.

Item Type:	Article
Official URL:	https://link.springer.com/journal/13366
Additional Information:	© 2019 The Author
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	07 Jun 2019 23:09
Last Modified:	17 Oct 2024 16:33
URI:	http://eprints.lse.ac.uk/id/eprint/100995

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