Classification of the extreme points of ${\mathcal L}_s(^2l_{\infty}^3)$ by computation
Let $l_{\infty}^3=\mathbb{R}^3$ be endowed with the supremum norm. In [Comment. Math. 2017, 57 (1), 1-7], S.G. Kim classified the extreme points of the unit ball of ${\mathcal L}_s(^2l_{\infty}^3)$ only using Mathematica 8, where ${\mathcal L}_s(^2l_{\infty}^3)$ is the space of symmetric bilinear f...
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2022-11-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
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| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/4794 |
| _version_ | 1797205794515582976 |
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| author | Sung Guen Kim |
| author_facet | Sung Guen Kim |
| author_sort | Sung Guen Kim |
| collection | DOAJ |
| description | Let $l_{\infty}^3=\mathbb{R}^3$ be endowed with the supremum norm. In [Comment. Math. 2017, 57 (1), 1-7], S.G. Kim classified the extreme points of the unit ball of ${\mathcal L}_s(^2l_{\infty}^3)$ only using Mathematica 8, where ${\mathcal L}_s(^2l_{\infty}^3)$ is the space of symmetric bilinear forms on $l_{\infty}^3$. It seems to be interesting and meaningful to classify the extreme points of the unit ball of ${\mathcal L}_s(^2l_{\infty}^3)$ without using Mathematica 8. The aim of this paper is to make such classification by mathematical calculations. |
| first_indexed | 2024-04-24T08:56:47Z |
| format | Article |
| id | doaj.art-7f8900b513c34e6ba4ec8346103307c9 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-04-24T08:56:47Z |
| publishDate | 2022-11-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-7f8900b513c34e6ba4ec8346103307c92024-04-16T07:12:26ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102022-11-0114237138710.15330/cmp.14.2.371-3874172Classification of the extreme points of ${\mathcal L}_s(^2l_{\infty}^3)$ by computationSung Guen Kim0Kyungpook National University, 41566, Daegu, South KoreaLet $l_{\infty}^3=\mathbb{R}^3$ be endowed with the supremum norm. In [Comment. Math. 2017, 57 (1), 1-7], S.G. Kim classified the extreme points of the unit ball of ${\mathcal L}_s(^2l_{\infty}^3)$ only using Mathematica 8, where ${\mathcal L}_s(^2l_{\infty}^3)$ is the space of symmetric bilinear forms on $l_{\infty}^3$. It seems to be interesting and meaningful to classify the extreme points of the unit ball of ${\mathcal L}_s(^2l_{\infty}^3)$ without using Mathematica 8. The aim of this paper is to make such classification by mathematical calculations.https://journals.pnu.edu.ua/index.php/cmp/article/view/4794extreme point |
| spellingShingle | Sung Guen Kim Classification of the extreme points of ${\mathcal L}_s(^2l_{\infty}^3)$ by computation Karpatsʹkì Matematičnì Publìkacìï extreme point |
| title | Classification of the extreme points of ${\mathcal L}_s(^2l_{\infty}^3)$ by computation |
| title_full | Classification of the extreme points of ${\mathcal L}_s(^2l_{\infty}^3)$ by computation |
| title_fullStr | Classification of the extreme points of ${\mathcal L}_s(^2l_{\infty}^3)$ by computation |
| title_full_unstemmed | Classification of the extreme points of ${\mathcal L}_s(^2l_{\infty}^3)$ by computation |
| title_short | Classification of the extreme points of ${\mathcal L}_s(^2l_{\infty}^3)$ by computation |
| title_sort | classification of the extreme points of mathcal l s 2l infty 3 by computation |
| topic | extreme point |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/4794 |
| work_keys_str_mv | AT sungguenkim classificationoftheextremepointsofmathcalls2linfty3bycomputation |