Journal of Sciences, Islamic Republic of Iran, ( ISI ), Volume (19), No (2), Year (2008-2) , Pages (169-173)

Title : ( Weighted convolution measure algebras characterized by convolution algebras )

Authors: علی رجالی , Hamid Reza Ebrahimi Vishki ,

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Abstract

We consider weighted semigroup algebra $M_b(S,w)$ as the Banach algebra $M_b(S)$ together a weighted algebra product $*_w$ so that $(M_b(S,w), *)$ is algebra-isomorphic and isometric with $(M_b(S),*_w)$. The relation between regularity and amenability of $M_b(S,w)$ and $M_b(S)$ with their second duals was studied.

Keywords

weighted semigroup algebra; Arens product; amenable Banach algebra