On the n−th linear polarization constant of Rn

dc.creator	Pinasco, Damián
dc.date.accessioned	2023-05-24T16:56:12Z
dc.date.accessioned	2024-08-01T16:54:44Z
dc.date.available	2023-05-24T16:56:12Z
dc.date.available	2024-08-01T16:54:44Z
dc.date.created	2023-05-24T16:56:12Z
dc.date.issued	2023
dc.identifier	https://repositorio.utdt.edu/handle/20.500.13098/11834
dc.identifier	https://doi.org/10.1002/mana.202200026
dc.identifier	https://doi.org/10.48550/arXiv.2208.05584
dc.identifier.uri	https://repositorioslatinoamericanos.uchile.cl/handle/2250/9536964
dc.description.abstract	Abstract. We prove that given any set of n unit vectors {vi}n i=1 ⊂ Rn, the inequality sup kxkRn=1 \|hx, v1i · · · hx, vni\| ≥ n−n/2 holds for n ≤ 14. Moreover, the equality is attained if and only if {vi}n i=1 is an orthonormal system.
dc.publisher	Mathematische Nachrichten
dc.relation
dc.relation	Math. Nachr. 00 (2023), 1– 13
dc.rights	https://creativecommons.org/licenses/by-sa/2.5/ar/
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Matemáticas
dc.subject	Linear polarization constants
dc.subject	Product of linear functionals
dc.title	On the n−th linear polarization constant of Rn
dc.type	info:eu-repo/semantics/article