RT Journal Article
T1 Where do homogeneous polynomials on ln1 attain their norm?
A1 Villanueva Díez, Ignacio
A1 Pérez García, David
AB Using a ‘reasonable’ measure in  , the space of 2-homogeneous polynomials on ℓ1n, we show the existence of a set of positive (and independent of n) measure of polynomials which do not attain their norm at the vertices of the unit ball of ℓ1n. Next we prove that, when n grows, almost every polynomial attains its norm in a face of ‘low’ dimension.
PB Elsevier
SN 1096-0430
YR 2004
FD 2004-03-01
LK https://hdl.handle.net/20.500.14352/49447
UL https://hdl.handle.net/20.500.14352/49447
LA eng
NO Pérez Garcı́a, D. & Villanueva Díez, I. «Where Do Homogeneous Polynomials on ℓ1n Attain Their Norm?» Journal of Approximation Theory, vol. 127, n.o 1, marzo de 2004, pp. 124-33. DOI.org (Crossref), https://doi.org/10.1016/j.jat.2004.01.001.
NO Dirección General de Investigación Científica y Técnica (España)
DS Docta Complutense
RD 12 abr 2025