Norm attaining multilinear forms on the spaces $c_0$ or $l_1$

Abstract

T∈L(nE)T∈L(nE) is called a norming attaining if there are x1,…,xn∈Ex1,…,xn∈E such that ∥x1∥=⋯=∥xn∥=1‖x1‖=⋯=‖xn‖=1 and |T(x1,…,xn)|=∥T∥,|T(x1,…,xn)|=‖T‖, where L(nE)L(nE) denotes the space of all continuous nn-linear forms on E.E. We investigate norm attaining multilinear forms on c0c0 or l1.l1.