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http://dx.doi.org/10.4134/CKMS.c180111

THE UNIT BALL OF THE SPACE OF BILINEAR FORMS ON ℝ3 WITH THE SUPREMUM NORM  

Kim, Sung Guen (Department of Mathematics Kyungpook National University)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.2, 2019 , pp. 487-494 More about this Journal
Abstract
We classify all the extreme and exposed bilinear forms of the unit ball of ${\mathcal{L}}(^2l^3_{\infty})$ which leads to a complete formula of ${\parallel}f{\parallel}$ for every $f{\in}{\mathcal{L}}(^2l^3_{\infty})^*$. It follows from this formula that every extreme bilinear form of the unit ball of ${\mathcal{L}}(^2l^3_{\infty})$ is exposed.
Keywords
bilinear forms on ${\mathbb{R}}^3$; extreme points; exposed points;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
연도 인용수 순위
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