No CrossRef data available.
Article contents
On Locating Isometric 𝓁(n)1
Published online by Cambridge University Press: 20 November 2018
Abstract
Motivated by a question of Per Enflo, we develop a hypercube criterion for locating linear isometric copies of $\ell _{1}^{\left( n \right)}$ in an arbitrary real normed space $X$.
The said criterion involves finding ${{2}^{n}}$ points in $X$ that satisfy one metric equality. This contrasts nicely to the standard classical criterion wherein one seeks $n$ points that satisfy ${{2}^{n-1}}$ metric equalities.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2001