Multipliers of Uniform Topological Algebras-Reference-Cited by-同舟云学术

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Multipliers of Uniform Topological Algebras

Published:2017-09-13 Issue:1 Volume:31 Page:71-81
ISSN:0860-2107
Container-title:Annales Mathematicae Silesianae
language:en
Short-container-title:

Author:

Azhari Mohammed El¹

Affiliation:

1. Ecole Normale Supérieure, Avenue Oued Akreuch, Takaddoum, BP 5118, Rabat , Morocco

Abstract

Abstract Let E be a complete uniform topological algebra with Arens-Michael normed factors 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference10 articles.

1. [1] Arhippainen J., On locally convex square algebras, Funct. Approx. 22 (1993), 57-63.

2. [2] Haralampidou M., The Krull nature of locally C-algebras, in: Function Spaces (Edwardsville, IL, 2002), 195-200, Contemp. Math., 328, Amer. Math. Soc., Providence, 2003.

3. [3] Haralampidou M., Palacios L., Signoret C., Multipliers in locally convex _-algebras, Rocky Mountain J. Math. 43 (2013), 1931-1940.

4. [4] Haralampidou M., Palacios L., Signoret C., Multipliers in perfect locally m-convex algebras, Banach J. Math. Anal. 9 (2015), 137-143.

5. [5] Haralampidou M., Palacios L., Signoret C., Multipliers in some perfect locally m-pseudoconvex algebras, Proceedings of the 8th International Conference on Topological Algebras and their Applications, 2014, Ed. by A. Katz, Series: De Gruyter Proceedings in Mathematics. To appear.

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