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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-1-1,
author = {Javad Laali and Mina Ettefagh},
title = {Weak amenability of general measure algebras},
journal = {Colloquium Mathematicae},
volume = {111},
year = {2008},
pages = {1-9},
zbl = {1133.43001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-1-1}
}
Javad Laali; Mina Ettefagh. Weak amenability of general measure algebras. Colloquium Mathematicae, Tome 111 (2008) pp. 1-9. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-1-1/