Lower estimates for weak distances between finite-dimensional Banach spaces of the same dimension are investigated. It is proved that the weak distance between a random pair of n-dimensional quotients of is greater than or equal to c√(n/log³n).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-3-8,
author = {Piotr Mankiewicz},
title = {Weak Distances between Random Subproportional Quotients of $l1^{m}$
},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {60},
year = {2012},
pages = {285-294},
zbl = {1256.46004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-3-8}
}
Piotr Mankiewicz. Weak Distances between Random Subproportional Quotients of $ℓ₁^{m}$
. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012) pp. 285-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-3-8/