1Department of Mathematics Tarbiat Moallem University 599 Taleghani Avenue Tehran 15614, Iran 2Department of Mathematics Tabriz Islamic Azad University Tabriz, Iran
Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 1-9
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.
Keywords:
study weak amenability general measure algebra locally compact space first general measure multiplications separately weak * continuous moreover under certain conditions weak amenability ** implies weak amenability main result paper states there general measure algebra ** weakly amenable without being discrete topological space
Affiliations des auteurs :
Javad Laali
1
;
Mina Ettefagh
2
1
Department of Mathematics Tarbiat Moallem University 599 Taleghani Avenue Tehran 15614, Iran
2
Department of Mathematics Tabriz Islamic Azad University Tabriz, Iran
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Javad Laali; Mina Ettefagh. Weak amenability of general measure algebras. Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 1-9. doi: 10.4064/cm111-1-1
