Geometry of multilinear forms on l_1

  • Sung Guen Kim Kyungpook National University
Keywords: extreme points, exposed points and smooth points

Abstract

We characterize extreme, exposed and smooth points in the Banach space L(nE) of continuous n-linear forms on E, and in its subspace Ls(nE) of symmetric n-linear forms on E when E = l1 and E = l1m  for n,m ∈ N with n,m ≥ 2 .

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Published
2021-06-21
Section
Articles