%0 Journal Article
%A Villanueva, Ignacio
%A Pérez García, David
%T Where do homogeneous polynomials on ln1 attain their norm?
%D 2004
%@ 1096-0430
%U https://hdl.handle.net/20.500.14352/49447
%X 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.
%~