Multipliers of uniform topological algebras

Mohammed El Azhari

Published: 2017-04-12

Vol. 31 (2017)

Multipliers of uniform topological algebras

Mohammed El Azhari

Abstract

Let E be a complete uniform topological algebra with Arens-Michael normed factors (E_α)_α∈Λ. Then M(E)≅lim_←M(E_α) within an algebra isomorphism ϕ. If each factor E_α 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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El Azhari, M. (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

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Vol. 31 (2017)
Published: 2017-09-13

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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