Weak amenability of general measure algebras

• Autorzy: Javad Laali , Mina Ettefagh
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 43A62: Hypergroups
• 43A07: Means on groups, semigroups, etc.; amenable groups
• 43A10: Measure algebras on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 111
• Numer: 1
• Strony: 1-9

Daty

wydano

2008

Twórcy

autor

Javad Laali

• Department of Mathematics, Tarbiat Moallem University, 599 Taleghani Avenue, Tehran 15614, Iran

autor

Mina Ettefagh

• Department of Mathematics, Tabriz Islamic Azad University, Tabriz, Iran

Identyfikatory

DOI

10.4064/cm111-1-1