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$sigma$-Connes Amenability and Pseudo-(Connes) Amenability of Beurling Algebras
Journal: Sahand Communications in Mathematical Analysis (Vol.15, No. 1)Publication Date: 2019-07-01
Authors : Zahra Hasanzadeh; Amin Mahmoodi;
Page : 77-89
Keywords : $sigma$-Connes amenability; Pseudo-amenability; Pseudo-Connes amenability; Beurling algebras;
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Abstract
In this paper, pseudo-amenability and pseudo-Connes amenability of weighted semigroup algebra $ell^1(S,omega)$ are studied. It is proved that pseudo-Connes amenability and pseudo-amenability of weighted group algebra $ell^1(G,omega)$ are the same. Examples are given to show that the class of $sigma$-Connes amenable dual Banach algebras is larger than that of Connes amenable dual Banach algebras.
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Last modified: 2019-07-27 18:10:17