The geometry of the space of symmetric bilinear forms on R2 with octagonal norm

Sung Guen Kim

doi:10.5666/KMJ.2016.56.3.781

The geometry of the space of symmetric bilinear forms on R² with octagonal norm

Sung Guen Kim

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

1 Scopus citations

Abstract

Let d*(1,w)² = R² with the octagonal norm of weight w. It is the two dimensional real predual of Lorentz sequence space. In this paper we classify the smooth points of the unit ball of the space of symmetric bilinear forms on d*(1,w)².

Original language	English
Pages (from-to)	781-791
Number of pages	11
Journal	Kyungpook Mathematical Journal
Volume	56
Issue number	3
DOIs	https://doi.org/10.5666/KMJ.2016.56.3.781
State	Published - 2016

Keywords

Extreme points
Smooth points
Symmetric bilinear forms
The octagonal norm on R with weight w
The two dimensional real predual of the Lorentz sequence space

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10.5666/KMJ.2016.56.3.781

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title = "The geometry of the space of symmetric bilinear forms on R2 with octagonal norm",

abstract = "Let d*(1,w)2 = R2 with the octagonal norm of weight w. It is the two dimensional real predual of Lorentz sequence space. In this paper we classify the smooth points of the unit ball of the space of symmetric bilinear forms on d*(1,w)2.",

keywords = "Extreme points, Smooth points, Symmetric bilinear forms, The octagonal norm on R with weight w, The two dimensional real predual of the Lorentz sequence space",

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AB - Let d*(1,w)2 = R2 with the octagonal norm of weight w. It is the two dimensional real predual of Lorentz sequence space. In this paper we classify the smooth points of the unit ball of the space of symmetric bilinear forms on d*(1,w)2.

KW - Extreme points

KW - Smooth points

KW - Symmetric bilinear forms

KW - The octagonal norm on R with weight w

KW - The two dimensional real predual of the Lorentz sequence space

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DO - 10.5666/KMJ.2016.56.3.781

M3 - Article

AN - SCOPUS:85014964043

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JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 3

ER -

The geometry of the space of symmetric bilinear forms on R² with octagonal norm

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Keywords

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