Weak Distances between Random Subproportional Quotients of $\ell {₁}^m$

Piotr Mankiewicz. "Weak Distances between Random Subproportional Quotients of $ℓ₁^{m}$." Bulletin of the Polish Academy of Sciences. Mathematics 60.3 (2012): 285-294. <http://eudml.org/doc/281337>.

@article{PiotrMankiewicz2012,
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 $ℓ₁^\{n²\}$ is greater than or equal to c√(n/log³n).},
author = {Piotr Mankiewicz},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {finite-dimensional Banach spaces; weak distance between Banach spaces; random quotients of Banach spaces; Banach-Mazur distances},
language = {eng},
number = {3},
pages = {285-294},
title = {Weak Distances between Random Subproportional Quotients of $ℓ₁^\{m\}$},
url = {http://eudml.org/doc/281337},
volume = {60},
year = {2012},
}

TY - JOUR
AU - Piotr Mankiewicz
TI - Weak Distances between Random Subproportional Quotients of $ℓ₁^{m}$
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2012
VL - 60
IS - 3
SP - 285
EP - 294
AB - 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 $ℓ₁^{n²}$ is greater than or equal to c√(n/log³n).
LA - eng
KW - finite-dimensional Banach spaces; weak distance between Banach spaces; random quotients of Banach spaces; Banach-Mazur distances
UR - http://eudml.org/doc/281337
ER -