Weak amenability of general measure algebras

Javad Laali, and Mina Ettefagh. "Weak amenability of general measure algebras." Colloquium Mathematicae 111.1 (2008): 1-9. <http://eudml.org/doc/283629>.

@article{JavadLaali2008,
abstract = {We study the weak amenability of a general measure algebra M(X) on a locally compact space X. First we show that not all general measure multiplications are separately weak* continuous; moreover, under certain conditions, weak amenability of M(X)** implies weak amenability of M(X). The main result of this paper states that there is a general measure algebra M(X) such that M(X) and M(X)** are weakly amenable without X being a discrete topological space.},
author = {Javad Laali, Mina Ettefagh},
journal = {Colloquium Mathematicae},
keywords = {measure algebra; hypergroup; Arens regular; amenable; weakly amenable},
language = {eng},
number = {1},
pages = {1-9},
title = {Weak amenability of general measure algebras},
url = {http://eudml.org/doc/283629},
volume = {111},
year = {2008},
}

TY - JOUR
AU - Javad Laali
AU - Mina Ettefagh
TI - Weak amenability of general measure algebras
JO - Colloquium Mathematicae
PY - 2008
VL - 111
IS - 1
SP - 1
EP - 9
AB - We study the weak amenability of a general measure algebra M(X) on a locally compact space X. First we show that not all general measure multiplications are separately weak* continuous; moreover, under certain conditions, weak amenability of M(X)** implies weak amenability of M(X). The main result of this paper states that there is a general measure algebra M(X) such that M(X) and M(X)** are weakly amenable without X being a discrete topological space.
LA - eng
KW - measure algebra; hypergroup; Arens regular; amenable; weakly amenable
UR - http://eudml.org/doc/283629
ER -