A+ CATEGORY SCIENTIFIC UNIT

Weak amenability of general measure algebras

Volume 111 / 2008

Javad Laali, Mina Ettefagh Colloquium Mathematicum 111 (2008), 1-9 MSC: 43A10, 43A62, 43A07. DOI: 10.4064/cm111-1-1

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.

Authors

  • Javad LaaliDepartment of Mathematics
    Tarbiat Moallem University
    599 Taleghani Avenue
    Tehran 15614, Iran
    e-mail
  • Mina EttefaghDepartment of Mathematics
    Tabriz Islamic Azad University
    Tabriz, Iran
    e-mail

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