期刊论文详细信息
Canadian mathematical bulletin | |
On Nearly Equilateral Simplices and Nearly l∞ Spaces | |
Gennadiy Averkov1  | |
[1] Institute for Mathematical Optimization, Faculty of Mathematics, University of Magdeburg, Magdeburg, Germany | |
关键词: graph; $(g; f)$-factor; $(g; f; n)$-critical graph; binding number; | |
DOI : 10.4153/CMB-2010-055-1 | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
By $extrm{d}(X,Y)$ we denote the (multiplicative) Banach--Mazur distance between two normed spaces $X$ and $Y.$ Let $X$ be an $n$-dimensional normed space with $extrm{d}(X,ell_infty^n) le 2,$ where $ell_infty^n$ stands for $mathbb{R}^n$ endowed with the norm $|(x_1,dots,x_n)|_infty := max {|x_1|,dots, |x_n| }.$ Then every metric space $(S,ho)$ of cardinality $n+1$ with norm $ho$ satisfying the condition $max D / min D le 2/ extrm{d}(X,ell_infty^n)$ for $D:={ ho(a,b) : a, b in S,a e b}$ can be isometrically embedded into $X.$
【 授权许可】
Unknown
【 预 览 】
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