Classification of the extreme points of (Formula presented) by computation

Kim Sung Guen

doi:10.15330/cmp.14.2.371-387

Classification of the extreme points of (Formula presented) by computation

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Abstract

Let (Formula presented) 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 (Formula presented) only using Mathematica 8, where (Formula presented) is the space of symmetric bilinear forms on (Formula presented). It seems to be interesting and meaningful to classify the extreme points of the unit ball of (Formula presented) without using Mathematica 8. The aim of this paper is to make such classification by mathematical calculations.

Original language	English
Pages (from-to)	371-387
Number of pages	17
Journal	Carpathian Mathematical Publications
Volume	14
Issue number	2
DOIs	https://doi.org/10.15330/cmp.14.2.371-387
State	Published - 2022

Keywords

extreme point

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10.15330/cmp.14.2.371-387

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abstract = "Let (Formula presented) 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 (Formula presented) only using Mathematica 8, where (Formula presented) is the space of symmetric bilinear forms on (Formula presented). It seems to be interesting and meaningful to classify the extreme points of the unit ball of (Formula presented) without using Mathematica 8. The aim of this paper is to make such classification by mathematical calculations.",

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Classification of the extreme points of (Formula presented) by computation

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