Amenability and topological centres of the second duals of Banach algebras
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Abstract
Let be a Banach algebra and let ** be the second dual algebra of endowed with the first or the second Arens product. We investigate relations between amenability of ** and Arens regularity of and the rôle topological centres in amenability of **. We also find conditions under which weak amenability of ** implies weak amenability of .
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