Title of article
An extension of Segal algebras
Author/Authors
Yousofzadeh, Akram Islamic Azad University, Mobarakeh Branch - Faculty of Mathematics, ايران
From page
75
To page
79
Abstract
In this paper we study a class of dense ideals in a locally convex algebra. The results concern the relationship between this concept and abstract Segal algebra, which is introduced by Reiter in 1971. We define generalized Segal algebras and prove that a finite dimensional semisimple Banach algebra cannot be a proper generalized Segal algebra in a Fr´echet algebra.
Keywords
Fr´echet algebra , Segal algebra , multiplicative seminorm , approximate identity , finite dimensional Banach algebra
Journal title
Matematika
Journal title
Matematika
Record number
2570217
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