The norming sets of P(_d∗(², w)_)

Let n ∈ N. An element x ∈ E is called a norming point of P ∈ P(n E) if YxY = ² and SP(x)S = YPY, where P(n E) denotes the space of all continuous n-homogeneous polynomials on E. For P ∈ P(n E), we define Norm(P) = x ∈ E ∶ x is a norming point of P. Norm(P) is called the norming set of P. We classify Norm(P) for every P ∈ P(_ d∗(², w)_ ), where d∗(², w)_ = R_ with the octagonal norm of weight x < w < ².