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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.
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