Vol. 26, No. 1, 1968

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A note on the Arens products

Julien O. Hennefeld

Vol. 26 (1968), No. 1, 115–119
Abstract

Arens has given a way of defining two Banach algebra products on the second dual of a Banach algebra 𝒜. Each of these products extends the original multiplication on 𝒜 when 𝒜 is canonically imbedded in its second dual 𝒜∗∗. In this paper we are concerned with characterizing those Banach algebras with the property that the two Arens products agree on the second duals.

Mathematical Subject Classification
Primary: 46.50
Milestones
Received: 26 July 1967
Published: 1 July 1968
Authors
Julien O. Hennefeld