On the range of a derivation
نویسندگان
چکیده
Let be a Banach algebra and : a derivation. In this paper, it is proved, under certain conditions, that , where is the Jacobson radical of . Moreover, we prove that if is unital and : is a continuous derivation, then ⋂ ⋂ ⋂ , where denotes the set of all primitive ideals such that is commutative, denotes the set of all maximal (modular) ideals such that is commutative, and Φ is the set of all non-zero multiplicative linear functionals from into . In addition, we present several results about the range of a derivation on algebras having the property ( ).
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