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arXiv · 1608.05734

Multipliers of uniform topological algebras

M. El Azhari
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Abstract

Let $E$ be a complete uniform topological algebra with Arens-Michael normed factors $\left(E_{\alpha}\right)_{\alpha\in\Lambda}.$ Then $M\left(E\right) \cong \varprojlim M\left(E_{\alpha}\right)$ 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 $M\left(E\right)$ is endowed with its seminorm topology.

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M. El Azhari. 2016-08-19. Multipliers of uniform topological algebras. https://doi.org/10.1515/amsil-2017-0002

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