• 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