Random sign embeddings from 𝑙ⁿᵣ,2<𝑟<∞

Figiel, T.; Johnson, W. B.; Schechtman, G.

doi:10.1090/S0002-9939-1988-0915724-1

Random sign embeddings from $l^n_r,\;2 < r < \infty$
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by T. Figiel, W. B. Johnson and G. Schechtman PDF

Proc. Amer. Math. Soc. 102 (1988), 102-106 Request permission

Abstract:

Estimates for any ideal norm of a "random sign embedding" from $l_r^n$ into $l_r^m,\;2 < r < \infty$, are given in terms of the corresponding ideal norm of the identity of $l_r^k,\;k = k(n,m,r)$.

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