A factorization constant for $l^n_p

Details A factorization constant for $l^n_p A factorization constant for $l^n_p

1993-02-11

arxiv.org/abs/math/9302213v1

Mathematics

Functional Analysis

Scientific paper

We prove that if PT is a factorization of the identity operator on \ell_p^n
through \ell_{\infty}^k, then ||P|| ||T|| \geq Cn^{1/p-1/2}(log n)^{-1/2}.
This is a corollary of a more general result on factoring the identity
operator on a quasi-normed space through \ell_{\infty}^k.

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