On Locating Isometric $ell_{1}^{(n)}$

Canadian mathematical bulletin

关键词: normed spaces;    hypercubes;   

DOI  :  10.4153/CMB-2001-037-5

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Motivated by a question of Per Enflo, we develop a hypercube criterionfor locating linear isometric copies of $lone$ in an arbitrary realnormed space $X$.The said criterion involves finding $2^{n}$ points in $X$ that satisfyone metric equality. This contrasts nicely to the standard classicalcriterion wherein one seeks $n$ points that satisfy $2^{n-1}$ metricequalities.

【 授权许可】

Unknown