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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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We classify the extreme 2-homogeneous polynomials on ℝ 2 with the hexagonal norm of weight ½. As applications, using its extreme points with the Krein-Milman Theorem, we explicitly compute the… Click to show full abstract

We classify the extreme 2-homogeneous polynomials on ℝ 2 with the hexagonal norm of weight ½. As applications, using its extreme points with the Krein-Milman Theorem, we explicitly compute the polarization and unconditional constants of P ( 2 ℝ h( 1 2 ) 2 ) .

Keywords: unconditional constants; homogeneous polynomials; polarization unconditional; extreme homogeneous; hexagonal norm

Journal Title: Studia Scientiarum Mathematicarum Hungarica
Year Published: 2017

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