논문KCI 등재
The unit ball of the space of bilinear forms on $\mathbb{R}^3$ with the supremum norm
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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.
Abstract
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.
참고문헌 (31)
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관련 논문AI추천
Geometry of bilinear forms on a normed space $\mathbb{R}^n$김성권대한수학회 · 대한수학회지2023 · 제60권 제1호The Geometry of L(2l_{infty}^2)김성근경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제1호THE GEOMETRY OF Ls(3l2∞)김성권대한수학회 · 대한수학회논문집2017 · 제32권 제4호The unit ball of L(2R2h(w))김성근대한수학회 · 대한수학회보2017 · 제54권 제2호Extremal Problems for ${\mathcal L}_s(^2\mathbb{R}^2_{h(w)})$김성권경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제2호Extreme Bilinear Forms of L(2d*(1,w)2)김성권경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호
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