Commun. Korean Math. Soc. 2019; 34(2): 487-494
Online first article October 18, 2018 Printed April 30, 2019
https://doi.org/10.4134/CKMS.c180111
Copyright © The Korean Mathematical Society.
Sung Guen Kim
Kyungpook National University
We classify all the extreme and exposed bilinear forms of the unit ball of ${\mathcal L}(^2l_{\infty}^3)$ which leads to a complete formula of $\|f\|$ for every $f\in {{\mathcal L}(^2l_{\infty}^3)}^*$. It follows from this formula that every extreme bilinear form of the unit ball of ${\mathcal L}(^2l_{\infty}^3)$ is exposed.
Keywords: bilinear forms on $\mathbb{R}^3$, extreme points, exposed points
MSC numbers: Primary 46A22
2017; 32(4): 991-997
2020; 35(3): 799-807
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