Title of article :
Hereditary properties of amenability modulo an ideal of Banach algebras
Author/Authors :
Rahimi, H. Department of Mathematics - Islamic Azad University, Central Tehran Branch , Tahmasebi, E. Department of Mathematics - Islamic Azad University, Central Tehran Branch
Abstract :
In this paper we investigate some hereditary properties of amenability modulo an ideal of Banach algebras. We show that if (eα)α is a bounded approximate identity modulo I of a Banach algebra A and X is a neo-unital modulo I, then (eα)α is a bounded approximate identity for X. Moreover we show that amenability modulo an ideal of a Banach algebra A can be only considered by the neo-unital modulo I Banach algebra over A.
Keywords :
Amenability modulo an ideal , Neo-unital modulo an ideal , Approximate identity modulo an ideal
Journal title :
Astroparticle Physics
