The norming set of a bilinear form on a certain normed space $\mathbb{R}^2

In this paper we classify the norming set of a bilinear form on the plane with a certain norm whose unit ball has only four extreme points. We obtain the results of [6, 8] as corollary.

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Bibliographic Details
Published in:Researches in mathematics (Online) 2024-07, Vol.32 (1), p.71-82
Main Author: Kim, S.G.
Format: Article
Language:English
Subjects:
bilinear forms
extreme points
norming points
norming sets
Online Access:Get full text
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Description
Summary:In this paper we classify the norming set of a bilinear form on the plane with a certain norm whose unit ball has only four extreme points. We obtain the results of [6, 8] as corollary.
ISSN:2664-4991
2664-5009
DOI:10.15421/242406