Extreme 2-homogeneous polynomials on the plane with a hexagonal norm and applications to the polarization and unconditional constants

Sung Guen Kim

doi:10.1556/012.2017.54.3.1371

Extreme 2-homogeneous polynomials on the plane with a hexagonal norm and applications to the polarization and unconditional constants

Sung Guen Kim

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

19 Scopus citations

Abstract

We classify the extreme 2-homogeneous polynomials on R² with the hexagonal norm of weight 1/2 . As applications, using its extreme points with the Krein-Milman Theorem, we explicitly compute the polarization and unconditional constants of P(²R² h(1/2 )).

Original language	English
Pages (from-to)	362-393
Number of pages	32
Journal	Studia Scientiarum Mathematicarum Hungarica
Volume	54
Issue number	3
DOIs	https://doi.org/10.1556/012.2017.54.3.1371
State	Published - Sep 2017

Keywords

2-homogeneous polynomials
Extreme points
The Krein-Milman Theorem
The plane with a hexagonal norm
The polarization and unconditional constants

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10.1556/012.2017.54.3.1371

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abstract = "We classify the extreme 2-homogeneous polynomials on R2 with the hexagonal norm of weight 1/2 . As applications, using its extreme points with the Krein-Milman Theorem, we explicitly compute the polarization and unconditional constants of P(2R2 h(1/2 )).",

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KW - The polarization and unconditional constants

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Extreme 2-homogeneous polynomials on the plane with a hexagonal norm and applications to the polarization and unconditional constants

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