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Uniqueness of the Fréchet space topology on certain topological algebras
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1971
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