Convolution and the second dual of a Banach algebra
Published online by Cambridge University Press: 24 October 2008
Extract
We shall point out a connexion between convolution (as defined in (5); see also (7)) and the Arens multiplication on the second dual of a Banach algebra (1, 2). This enables us to demonstrate in an easy way the existence of a commutative Banach algebra whose second dual is not commutative. Examples can also be found in (3, 9) and elsewhere.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 597 - 599
- Copyright
- Copyright © Cambridge Philosophical Society 1969
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