Multipliers of uniform topological algebras

DOI10.1515/AMSIL-2017-0002zbMATH Open1384.46032arXiv1608.05734OpenAlexW3098133431MaRDI QIDQ2404713

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Publication date: 20 September 2017

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Abstract: Let $E$ be a complete uniform topological algebra with Arens-Michael normed factors $left(E_{alpha}ight{)}_{alphainLambda}.$ Then $Mleft(Eight)congvarprojlimMleft(E_{alpha}ight)$ within an algebra isomorphism $varphi$. If each factor $E_{alpha}$ is complete, then every multiplier of $E$ is continuous and $varphi$ is a topological algebra isomorphism where $Mleft(Eight)$ is endowed with its seminorm topology.

Full work available at URL: https://arxiv.org/abs/1608.05734

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