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The Arens product in locally convex algebras. (Spanish: El Producto de Arens en álgebras localmente convexas).

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Bombal Gordón, Fernando (1976) The Arens product in locally convex algebras. (Spanish: El Producto de Arens en álgebras localmente convexas). Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid, 70 (2). pp. 337-346. ISSN 0034-0596

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Abstract

The author considers locally convex algebras. He defines an Arens product for such algebras and applies it to obtain various generalizations of results known for Banach algebras. He gives a necessary and sufficient condition for the existence of an approximate identity and, for a locally convex algebra with an approximate right identity, he gives a necessary and sufficient condition for the existence of a right identity. He shows that an element x≠0 is a right topological divisor of zero if and only if it is a right divisor of zero when considered as an element of the bidual space.


Item Type:Article
Uncontrolled Keywords:topological algebras; normed rings and algebras
Subjects:Sciences > Mathematics > Topology
ID Code:17876
Deposited On:23 Jan 2013 08:59
Last Modified:07 Aug 2018 10:34

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