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Uniqueness of the Fréchet space topology on certain topological algebras

Published online by Cambridge University Press:  17 April 2009

R. J. Loy
R. J. Loy
Affiliation:
Carleton University, Ottawa, Canada; [now at: Department of Pure Mathematics, School of General Studies, Australian National University, Canberra, ACT].
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Abstract

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It is well known that the complete norm topology on a Banach algebra is not unique in general, though semisimplicity is sufficient (but not necessary) for uniqueness. In this note we consider a class of topological algebras of formal power series which have unique Fréchet space topology. The structure of these algebras in the Banach algebra case will be considered in a later paper.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 1 , February 1971 , pp. 1 - 7
Copyright
Copyright © Australian Mathematical Society 1971

References

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