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\(\varepsilon \)-isometries in \(l^n_1\)

  • Igor A. Vestfrid

摘要

We show that every \(\varepsilon \) ε -isometry of the unit ball in \(l^n_1\) l 1 n can be uniformly approximated by an affine surjective isometry to within \(Cn\varepsilon \) C n ε for some absolute constant C.