$$l^n_1$$ 中的 $$varepsilon $$ 等分线

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-01-17 DOI:10.1007/s00010-023-01023-3

Igor A. Vestfrid

引用次数: 0

摘要

我们证明了单位球在$l^n_1$中的每$\varepsilon $-等值线都可以被一个仿射等值线均匀地近似到$Cn\varepsilon $内，对于某个绝对常数C。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

$$\varepsilon $$ -isometries in $$l^n_1$$

We show that every $\varepsilon $-isometry of the unit ball in $l^n_1$ can be uniformly approximated by an affine surjective isometry to within $Cn\varepsilon $ for some absolute constant C.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.