Classification of the extreme points of Ls (2l3∞) by computation

  • Guen, Kim Sung
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초록

Let l3 infinity = R3 be endowed with the supremum norm. In [Comment. Math. 2017, 57 (1), 1-7], S.G. Kim classified the extreme points of the unit ball of Ls(2l3 infinity) only using Mathematica 8, where Ls(2l3 infinity) is the space of symmetric bilinear forms on l3 infinity. It seems to be interesting and meaningful to classify the extreme points of the unit ball of Ls(2l3 infinity) without using Mathematica 8. The aim of this paper is to make such classification by mathematical calculations.

키워드

extreme point; EXPOSED 2-HOMOGENEOUS POLYNOMIALS; UNIT BALL; BILINEAR-FORMS; MULTILINEAR FORMS; HOMOGENEOUS POLYNOMIALS; SMOOTH POINTS; GEOMETRY; SPACES; POLARIZATION
제목
Classification of the extreme points of Ls (2l3∞) by computation
저자
Guen, Kim Sung
DOI
10.15330/cmp.14.2.371-387
발행일
2022
유형
Article
저널명
Carpathian Mathematical Publications
권
14
호
2
페이지
371 ~ 387