<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Let E be a complete uniform topological algebra with Arens-Michael normed factors <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/amsil-2017-0002_001.jpg"></inline-graphic> 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. </p></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.

Multipliers of Uniform Topological Algebras

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Multipliers of Uniform Topological Algebras"}

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...

Multipliers of Uniform Topological Algebras

Published Online: Sep 13, 2017

Page range: 71 - 81

Received: Jun 09, 2016

Accepted: Jan 21, 2017

DOI: https://doi.org/10.1515/amsil-2017-0002

Keywords
multiplier algebra, locally m-pseudoconvex algebra, uniform topological algebra

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Multipliers of Uniform Topological Algebras

Published Online: Sep 13, 2017

Page range: 71 - 81

Received: Jun 09, 2016

Accepted: Jan 21, 2017

DOI: https://doi.org/10.1515/amsil-2017-0002

Keywordsmultiplier algebra, locally m-pseudoconvex algebra, uniform topological algebra

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
multiplier algebra, locally m-pseudoconvex algebra, uniform topological algebra