Almost Euclidean quotient spaces of subspaces of a finite-dimensional normed space

Milman, V. D.

doi:10.1090/S0002-9939-1985-0787891-1

Almost Euclidean quotient spaces of subspaces of a finite-dimensional normed space
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Proc. Amer. Math. Soc. 94 (1985), 445-449 Request permission

Abstract:

The main result of this article is Theorem 1 which states that a quotient space $Y,\dim Y = k$, of a subspace of any finite dimensional normed space $X$, may be chosen to be $d$-isomorphic to a euclidean space even for $k = [\lambda n]$ for any fixed $\lambda < 1$ (and $d$ depending on $\lambda$ only).

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