APPROXIMATE AMENABILITY FOR BANACH MODULES

Fatemeh Anousheh, Davood Ebrahimi Bagha, Abasalt Bodaghi
2016 U.P.B. Sci. Bull., Series A   unpublished
For a Banach algebra A, a Banach A-bimodule E and a bounded Ba-nach A-bimodule homomorphism ∆ : E −→ A, the notions of approximate ∆-amenability and ∆-contractibility for E are introduced. The general theory is developed and some hereditary properties are given. In analogy with approximate amenability and contractibility for Banach algebras, it is shown that under some mild conditions approximate ∆-amenability and approximate ∆-contractibility are the same properties.
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