Hereditary properties of amenability modulo an ideal of Banach algebras

Journal of Linear and Topological Algebra

مقاله 5، دوره 03، شماره 02، شهریور 2014، صفحه 107-114   

نویسندگان

H. Rahimi^* ؛ E. Tahmasebi

Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185-768, Tehran, Iran

چکیده

In this paper we investigate some hereditary properties of amenability modulo an ideal of Banach algebras. We show that if $(e_\alpha)_\alpha$ is a bounded approximate identity modulo I of a Banach algebra A and X is a neo-unital modulo I, then $(e_\alpha)_\alpha$ 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.

کلیدواژه‌ها

Amenability modulo an ideal؛ Neo-unital modulo an ideal؛ Approximate identity modulo an ideal

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