The Norming Sets of Multilinear Forms on the Plane with a Certain Norm

Abstract

Let n ∈ ℕ. An element (x1, … , xn) ∈ En is called a norming point of if and , where denotes the space of all continuous symmetric n-linear forms on E. For , we defineNorm(T) is called the norming set of T.Let be the plane with a certain norm such that the set of the extreme points of its unit ball ext for some .In this paper, we classify Norm(T) for every . We also present relations between the norming sets of and .