Some remarks on quasi-Cohen sets

Pascal Lefèvre, and Daniel Li. "Some remarks on quasi-Cohen sets." Colloquium Mathematicae 89.2 (2001): 169-178. <http://eudml.org/doc/283617>.

@article{PascalLefèvre2001,
abstract = {We are interested in Banach space geometry characterizations of quasi-Cohen sets. For example, it turns out that they are exactly the subsets E of the dual of an abelian compact group G such that the canonical injection $C(G)/C_\{E^\{c\}\}(G) ↪ L²_\{E\}(G)$ is a 2-summing operator. This easily yields an extension of a result due to S. Kwapień and A. Pełczyński. We also investigate some properties of translation invariant quotients of L¹ which are isomorphic to subspaces of L¹.},
author = {Pascal Lefèvre, Daniel Li},
journal = {Colloquium Mathematicae},
keywords = {summing operators; quasi-Cohen sets; quotient of ; GL-spaces},
language = {eng},
number = {2},
pages = {169-178},
title = {Some remarks on quasi-Cohen sets},
url = {http://eudml.org/doc/283617},
volume = {89},
year = {2001},
}

TY - JOUR
AU - Pascal Lefèvre
AU - Daniel Li
TI - Some remarks on quasi-Cohen sets
JO - Colloquium Mathematicae
PY - 2001
VL - 89
IS - 2
SP - 169
EP - 178
AB - We are interested in Banach space geometry characterizations of quasi-Cohen sets. For example, it turns out that they are exactly the subsets E of the dual of an abelian compact group G such that the canonical injection $C(G)/C_{E^{c}}(G) ↪ L²_{E}(G)$ is a 2-summing operator. This easily yields an extension of a result due to S. Kwapień and A. Pełczyński. We also investigate some properties of translation invariant quotients of L¹ which are isomorphic to subspaces of L¹.
LA - eng
KW - summing operators; quasi-Cohen sets; quotient of ; GL-spaces
UR - http://eudml.org/doc/283617
ER -