Geometry of multilinear forms on l_1

Abstract

We characterize extreme, exposed and smooth points in the Banach space L(ⁿE) of continuous n-linear forms on E, and in its subspace Ls(ⁿE) of symmetric n-linear forms on E when E = l1 and E = l1^m  for n,m ∈ N with n,m ≥ 2 .