Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

The second dual of a Banach algebra*

J. Duncana1 and S. A. R. Hosseiniuna2

a1 Department of Mathematics, University of Stirling Tabriz, Iran

a2 Department of Mathematics, The University, Tabriz, Iran


We give a survey of the current state of knowledge on the Arens second dual of a Banach algebra, including some simplified proofs of known results, some new results, some open problems and a full bibliography of the subject.

(Received February 09 1979)

(Revised June 11 1979)

(Online publication October 29 1979)


* This paper was assisted in publication by a grant from the Carnegie Trust for the Universities of Scotland.