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On character amenability of Beurling and second dual algebras. (English) Zbl 1340.46038
Summary: We investigate the character amenability of Beurling algebras. Also, for a Banach algebra $$A$$, we study the relations between the character amenability of $$A''$$ and Arens regularity of $$A$$ and the role of topological centres in the character amenability of $$A''$$.

##### MSC:
 46H20 Structure, classification of topological algebras 46H10 Ideals and subalgebras 46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) 43A20 $$L^1$$-algebras on groups, semigroups, etc.