Javier Falcó

Density of polynomials whose Aron--Berner extensions attain their norms

We establish a polynomial analogue of Lindenstrauss'theorem in full generality. More precisely, we prove that, for every real or complex Banach space X and every positive integer n, the n-homogeneous scalar-valued polynomials whose Aron-Berner extensions to the bidual X** attain their norms form a dense subset of the s...