Geodesic
On Locating Isometric l (n) 1
Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 370-375

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2001-037-5
Mots-clés : 46B04, 05C10, 05B99, Normed spaces, hypercubes 
Weston, Anthony. On Locating Isometric l (n) 1. Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 370-375. doi: 10.4153/CMB-2001-037-5
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