Corpus ID: 117055643

# A factorization constant for $l^n_p @article{Peck1993AFC, title={A factorization constant for \$l^n_p},
author={N. Peck},
journal={arXiv: Functional Analysis},
year={1993}
}
• N. Peck
• Published 1993
• Mathematics
• arXiv: Functional Analysis
• 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.