Weak Distances between Random Subproportional Quotients of $\ell^m_1$
Volume 60 / 2012
Bulletin Polish Acad. Sci. Math. 60 (2012), 285-294
MSC: 46B09, 46B20.
DOI: 10.4064/ba60-3-8
Abstract
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 $\ell^{n^2}_1$ is greater than or equal to $c\sqrt{n/\log^3 n}$.
