Some Results on Σ-derivations
نویسندگان
چکیده
Let A and B be two Banach algebras and let M be a Banach B-bimodule. Suppose that σ : A → B is a linear mapping and d : A → M is a σ-derivation. We prove several results about automatic continuity of σderivations on Banach algebras. In addition, we define a notion for m-weakly continuous linear mapping and show that, under certain conditions, d and σ are m-weakly continuous. Moreover, we prove that if A is commutative and σ : A → A is a continuous homomorphism such that σ = σ then σdσ(A) ⊆ σ(Q(A)) ⊆ rad(A).
منابع مشابه
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