# Arens Regularity of the Algebra of Operators on a Banach Space

@inproceedings{Daws2004ArensRO, title={Arens Regularity of the Algebra of Operators on a Banach Space}, author={Matthew Daws}, year={2004} }

A short proof is given that if E is a super-reflexive Banach space, then B(E), the Banach algebra of operators on E with composition product, is Arens regular. Some remarks on necessary conditions on E for B(E) to be Arens regular are made. Throughout, we denote the dual space of a Banach space E by E 0 . If x 2 E and 2 E 0 then we write h,x i = (x). We adopt the convention that the left-hand side of h·,·i is a member of the dual of the space which contains the right-hand side member of h·,·i… CONTINUE READING

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