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The second conjugate space of a Banach algebra as an algebra

The second conjugate space of a Banach algebra as an algebra

Introducioru A procedure has been given by Arens [1,2] for defining a multiplication in the second conjugate space of a Banach algebra which makes that space into another Banach algebra.This idea was used with great effectiveness by Day [3] in his study of amenable semigroups.We undertake here a rather systematic …