The norming set of a bilinear form on a certain normed space R2

Sung Guen Kim

doi:10.15421/242406

The norming set of a bilinear form on a certain normed space R²

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

Abstract

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.

Original language	English
Pages (from-to)	71-82
Number of pages	12
Journal	Researches in Mathematics
Volume	32
Issue number	1
DOIs	https://doi.org/10.15421/242406
State	Published - 2024

Keywords

bilinear forms
extreme points
norming points
norming sets

Access to Document

10.15421/242406

Cite this

@article{9b233d02602b4460a7b58fb5fcea7c92,

title = "The norming set of a bilinear form on a certain normed space R2",

abstract = "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.",

keywords = "bilinear forms, extreme points, norming points, norming sets",

author = "Kim, {Sung Guen}",

note = "Publisher Copyright: {\textcopyright} S. G. KIM, 2024.",

year = "2024",

doi = "10.15421/242406",

language = "English",

volume = "32",

pages = "71--82",

journal = "Researches in Mathematics",

issn = "2664-4991",

publisher = "Oles Honchar Dnipro National University",

number = "1",

}

TY - JOUR

T1 - The norming set of a bilinear form on a certain normed space R2

AU - Kim, Sung Guen

N1 - Publisher Copyright: © S. G. KIM, 2024.

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - bilinear forms

KW - extreme points

KW - norming points

KW - norming sets

UR - http://www.scopus.com/inward/record.url?scp=85198979558&partnerID=8YFLogxK

U2 - 10.15421/242406

DO - 10.15421/242406

M3 - Article

AN - SCOPUS:85198979558

SN - 2664-4991

VL - 32

SP - 71

EP - 82

JO - Researches in Mathematics

JF - Researches in Mathematics

IS - 1

ER -

The norming set of a bilinear form on a certain normed space R²

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this