On the geometry of proportional quotients of $l{₁}^m$

Piotr Mankiewicz, and Stanisław J. Szarek. "On the geometry of proportional quotients of $l₁^{m}$." Studia Mathematica 155.1 (2003): 51-66. <http://eudml.org/doc/284805>.

@article{PiotrMankiewicz2003,
abstract = {We compare various constructions of random proportional quotients of $l₁^\{m\}$ (i.e., with the dimension of the quotient roughly equal to a fixed proportion of m as m → ∞) and show that several of those constructions are equivalent. As a consequence of our approach we conclude that the most natural “geometric” models possess a number of asymptotically extremal properties, some of which were hitherto not known for any model.},
author = {Piotr Mankiewicz, Stanisław J. Szarek},
journal = {Studia Mathematica},
keywords = {random quotients},
language = {eng},
number = {1},
pages = {51-66},
title = {On the geometry of proportional quotients of $l₁^\{m\}$},
url = {http://eudml.org/doc/284805},
volume = {155},
year = {2003},
}

TY - JOUR
AU - Piotr Mankiewicz
AU - Stanisław J. Szarek
TI - On the geometry of proportional quotients of $l₁^{m}$
JO - Studia Mathematica
PY - 2003
VL - 155
IS - 1
SP - 51
EP - 66
AB - We compare various constructions of random proportional quotients of $l₁^{m}$ (i.e., with the dimension of the quotient roughly equal to a fixed proportion of m as m → ∞) and show that several of those constructions are equivalent. As a consequence of our approach we conclude that the most natural “geometric” models possess a number of asymptotically extremal properties, some of which were hitherto not known for any model.
LA - eng
KW - random quotients
UR - http://eudml.org/doc/284805
ER -