The norming sets of L(2Rh(w)2)

초록

An element (x(1), ... , x(n)) is an element of E-n is called a norming point of T is an element of L(E-n) if vertical bar vertical bar x(1)vertical bar vertical bar = ... = vertical bar vertical bar x(n)vertical bar vertical bar = 1 and vertical bar T(x(1),..., x(n))vertical bar = vertical bar vertical bar T vertical bar vertical bar, where L(E-n) denotes the space of all continuous n-linear forms on E. For T is an element of L(E-n), we define Norm(T) = {(x(1),..., x(n)) is an element of E-n : (x(1), ... , x(n)) is a norming point of T}. Let R-h(w)(2) denote the plane with the hexagonal norm with weight 0 < w < 1 vertical bar vertical bar(x, y)vertical bar vertical bar(h(w)) = max {vertical bar y vertical bar, vertical bar x vertical bar + (1 - w)vertical bar y vertical bar}. We classify Norm(T) for every T is an element of L(R-2(h(w))2).

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