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Convolution and the second dual of a Banach algebra

Published online by Cambridge University Press:  24 October 2008

John S. Pym
John S. Pym
Affiliation:
University of Sheffield
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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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References

REFERENCES

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