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

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

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Extracta mathematicae 2022-12, Vol.37 (2), p.243-259
1. Verfasser:	Kim, Sung Guen
Format:	Artikel
Sprache:	eng
Schlagworte:	2-homogeneous polynomials on the plane with the hexagonal norm extreme points homogeneous polynomials on the plane with the hexagonal norm Milman theorem smooth points The Krein The Krein-Milman theorem
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Motivated by the classifications of extreme and exposed 2-homogeneous polynomials on the plane with the hexagonal norm \|\|(x, y)\|\| = max{\|y\|, \|x\| + \|y\|/2} (see [15, 16]), we classify all smooth 2-homogeneous polynomials on R2 with the hexagonal norm.
ISSN:	0213-8743 2605-5686
DOI:	10.17398/2605-5686.37.2.243