GEOMETRY OF BILINEAR FORMS ON THE PLANE WITH THE OCTAGONAL NORM

초록

Let R2o(w) be the plane with the octagonal norm with weight 0 < w, w ≠ 1 { } ‖(x, y)‖<inf>o(w)</inf> = max |x| + w|y|, |y| + w|x|. In this paper we classify all extreme, exposed and smooth points of the closed unit balls of L(2R2o(w)) and Ls(2R2o(w)),where L(2R2o(w)) is the space of bilinear forms on R2o(w),and Ls(2R2o(w)) is the subspace of L(2l∞,θ2) consisting of symmetric bilinear forms. © 2021, Transilvania University of Brasov 1. All rights reserved.

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