Karpatsʹkì Matematičnì Publìkacìï (Dec 2020)

Extreme and exposed symmetric bilinear forms on the space ${\mathcal L}_{s}(^2 l_{\infty}^2)$

  • Sung Guen Kim

DOI
https://doi.org/10.15330/cmp.12.2.340-352
Journal volume & issue
Vol. 12, no. 2
pp. 340 – 352

Abstract

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We classify extreme points and exposed points of the unit ball of the space of bilinear symmetric forms on the real Banach space of bilinear symmetric forms on $l_{\infty}^2.$ It is shown that for this case, the set of extreme points is equal to the set of exposed points.

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