(1)、(2)、(3)的单位球

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-10-20 DOI:10.1556/012.2020.57.3.1470

Sung Guen Kim

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引用次数: 0

摘要

对于n,m≥2，本文研究和的闭单位球的极值点和暴露点集合的描述，其中为具有上范数的n-线性形式的空间，为由对称n-线性形式组成的子空间。首先分别对和的单位球的极值点进行分类。我们展示了ext∧ext，它回答了[32]中的问题。我们证明了和的单位球的每一个极值点都是相应暴露的。我们还展示了，它回答了[31]中的问题。

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The unit balls of ℒ(nl∞m) and ℒs(nl∞m)

For n,m≥ 2 this paper is devoted to the description of the sets of extreme and exposed points of the closed unit balls of and , where is the space of n-linear forms on with the supremum norm, and is the subspace of consisting of symmetric n-linear forms. First we classify the extreme points of the unit balls of and , respectively. We show that ext ⊂ ext , which answers the question in [32]. We show that every extreme point of the unit balls of and is exposed, correspondingly. We also show thatand which answers the questions in [31].

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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.