Multipliers of uniform topological algebras



Abstract

Let E be a complete uniform topological algebra with Arens-Michael normed factors (Eα)α∈Λ. Then M(E)≅limM(Eα) within an algebra isomorphism ϕ. If each factor Eα is complete, then every multiplier of E is continuous and ϕ is a topological algebra isomorphism where M(E) is endowed with its seminorm topology.


Keywords

multiplier algebra; locally m-pseudoconvex algebra; uniform topological algebra

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Published : 2017-04-12


El AzhariM. (2017). Multipliers of uniform topological algebras. Annales Mathematicae Silesianae, 31, 71-81. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13940

Mohammed El Azhari  mohammed.elazhari@yahoo.fr
Ecole Normale Supérieure, Morocco  Morocco



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