Norm attaining multilinear forms on the spaces c0 or l1

초록

T E G(nE) is called a norming attaining if there are x1, ... , xn E E such that 'Ix1'I = center dot center dot center dot = 'Ixn'I = 1 and |T (x1, ... , xn)| = 'IT'I, where G(nE) denotes the space of all continuous n-linear forms on E. We investigate norm attaining multilinear forms on c0 or l1.

키워드