SMOOTH BILINEAR FORMS OF \scrL(2\BbbR2h(w1, w2)) AND \scrL(2\BbbR2 h\prime(w1, w2))

Sung Guen Kim; Chang Yeol Lee

doi:10.31392/MFAT-npu26_1-2.2023.04

SMOOTH BILINEAR FORMS OF \scrL(²\BbbR²_h(_w₁, w₂₎) AND \scrL(²\BbbR² _h\prime_(w1, w₂₎)

Sung Guen Kim
, Chang Yeol Lee

Kyungpook National University

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

Abstract

We characterize smooth points of unit balls in some spaces of bilinear forms on \BbbR². We find that for some special cases of hexagonal norms, the set of smooth points of the unit ball of symmetric bilinear forms coincides with the set of those smooth points of the unit ball of bilinear forms that are symmetric.

Original language	English
Pages (from-to)	39-56
Number of pages	18
Journal	Methods of Functional Analysis and Topology
Volume	29
Issue number	1-2
DOIs	https://doi.org/10.31392/MFAT-npu26_1-2.2023.04
State	Published - 2023

Keywords

Bilinear forms
certain hexagonal norms on \BbbR
smooth points

Access to Document

10.31392/MFAT-npu26_1-2.2023.04

Cite this

@article{92de25d41f2d42299d5eb3cdbcffa07f,

title = "SMOOTH BILINEAR FORMS OF \textbackslash{}scrL(2\textbackslash{}BbbR2h(w1, w2)) AND \textbackslash{}scrL(2\textbackslash{}BbbR2 h\textbackslash{}prime(w1, w2))",

abstract = "We characterize smooth points of unit balls in some spaces of bilinear forms on \textbackslash{}BbbR2. We find that for some special cases of hexagonal norms, the set of smooth points of the unit ball of symmetric bilinear forms coincides with the set of those smooth points of the unit ball of bilinear forms that are symmetric.",

keywords = "Bilinear forms, certain hexagonal norms on \textbackslash{}BbbR, smooth points",

author = "Kim, \{Sung Guen\} and Lee, \{Chang Yeol\}",

year = "2023",

doi = "10.31392/MFAT-npu26\_1-2.2023.04",

language = "English",

volume = "29",

pages = "39--56",

journal = "Methods of Functional Analysis and Topology",

issn = "1029-3531",

publisher = "Institute of Mathematics",

number = "1-2",

}

TY - JOUR

T1 - SMOOTH BILINEAR FORMS OF \scrL(2\BbbR2h(w1, w2)) AND \scrL(2\BbbR2 h\prime(w1, w2))

AU - Kim, Sung Guen

AU - Lee, Chang Yeol

PY - 2023

Y1 - 2023

N2 - We characterize smooth points of unit balls in some spaces of bilinear forms on \BbbR2. We find that for some special cases of hexagonal norms, the set of smooth points of the unit ball of symmetric bilinear forms coincides with the set of those smooth points of the unit ball of bilinear forms that are symmetric.

AB - We characterize smooth points of unit balls in some spaces of bilinear forms on \BbbR2. We find that for some special cases of hexagonal norms, the set of smooth points of the unit ball of symmetric bilinear forms coincides with the set of those smooth points of the unit ball of bilinear forms that are symmetric.

KW - Bilinear forms

KW - certain hexagonal norms on \BbbR

KW - smooth points

UR - https://www.scopus.com/pages/publications/85197505279

U2 - 10.31392/MFAT-npu26_1-2.2023.04

DO - 10.31392/MFAT-npu26_1-2.2023.04

M3 - Article

AN - SCOPUS:85197505279

SN - 1029-3531

VL - 29

SP - 39

EP - 56

JO - Methods of Functional Analysis and Topology

JF - Methods of Functional Analysis and Topology

IS - 1-2

ER -

SMOOTH BILINEAR FORMS OF \scrL(²\BbbR²_h(_w₁, w₂₎) AND \scrL(²\BbbR² _h\prime_(w1, w₂₎)

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this