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arXiv · 2003.13243

On Singer-Wermer conjecture in Frechet algebras

S. R. Patel
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Abstract

We construct two Frechet algebras admitting countably many mutually inequivalent Frechet algebra topologies. The second example is a modification of the maiden (and first) example of a non-Banach Frechet algebra with two inequivalent Frechet algebra topologies, considered by Read to show that the famous Singer-Wermer conjecture does not hold in the Frechet case. However the conjecture does hold by the second example which also admits countably many mutually equivalent Frechet algebra topologies.

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S. R. Patel. 2020-03-30. On Singer-Wermer conjecture in Frechet algebras. https://arxiv.org/abs/2003.13243

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