Multipliers of uniform topological algebras

Mohammed El Azhari (1)

1 UM5 - Université Mohammed V de Rabat [Agdal]

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.

Mots clés: Multiplier algebra; locally m-pseudoconvex algebra; uniform topological algebra

Domaines: Analyse fonctionnelle [math.FA]

Mohammed El Azhari. Multipliers of uniform topological algebras. Annales Mathematicae Silesianae, 2017, 31, pp.71-81. ⟨10.1515/amsil-2017-0002⟩. ⟨hal-01355345v2⟩