Smooth 2-homogeneous polynomials on the plane with a hexagonal norm

Sung Guen Kim

doi:10.17398/2605-5686.37.2.243

Smooth 2-homogeneous polynomials on the plane with a hexagonal norm

Sung Guen Kim

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Motivated by the classifications of extreme and exposed 2-homogeneous polynomials on the plane with the hexagonal norm k(x, y)k = max{|y|, |x| + 1/2 |y|} (see [15, 16]), we classify all smooth 2-homogeneous polynomials on ℝ² with the hexagonal norm.

Original language	English
Pages (from-to)	243-259
Number of pages	17
Journal	Extracta Mathematicae
Volume	37
Issue number	2
DOIs	https://doi.org/10.17398/2605-5686.37.2.243
State	Published - 2022

Keywords

2-homogeneous polynomials on the plane with the hexagonal norm
The Krein-Milman theorem
exposed points
extreme points
smooth points

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10.17398/2605-5686.37.2.243

Cite this

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abstract = "Motivated by the classifications of extreme and exposed 2-homogeneous polynomials on the plane with the hexagonal norm k(x, y)k = max\{|y|, |x| + 1/2 |y|\} (see [15, 16]), we classify all smooth 2-homogeneous polynomials on ℝ2 with the hexagonal norm.",

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N2 - Motivated by the classifications of extreme and exposed 2-homogeneous polynomials on the plane with the hexagonal norm k(x, y)k = max{|y|, |x| + 1/2 |y|} (see [15, 16]), we classify all smooth 2-homogeneous polynomials on ℝ2 with the hexagonal norm.

AB - Motivated by the classifications of extreme and exposed 2-homogeneous polynomials on the plane with the hexagonal norm k(x, y)k = max{|y|, |x| + 1/2 |y|} (see [15, 16]), we classify all smooth 2-homogeneous polynomials on ℝ2 with the hexagonal norm.

KW - 2-homogeneous polynomials on the plane with the hexagonal norm

KW - The Krein-Milman theorem

KW - exposed points

KW - extreme points

KW - smooth points

UR - https://www.scopus.com/pages/publications/85131013492

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JF - Extracta Mathematicae

IS - 2

ER -

Smooth 2-homogeneous polynomials on the plane with a hexagonal norm

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Keywords

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