The range of a normal derivation
نویسندگان
چکیده
منابع مشابه
On the range of a normal Jordan *-derivation
In this note, by means of the spectrum of the generating operator, we characterize the self-adjointness and closedness of the range of a normal and a self-adjoint Jordan *-derivation, respectively.
متن کاملon the range of a derivation
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 is the set of all non-...
متن کاملOn the range of a Jordan *-derivation
In this paper, we examine some questions concerned with certain “skew” properties of the range of a Jordan *-derivation. In the first part we deal with the question, for example, when the range of a Jordan *-derivation is a complex subspace. The second part of this note treats a problem in relation to the range of a generalized Jordan *-derivation.
متن کاملOn the range of a derivation
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 no...
متن کاملOn the superstability of a special derivation
The aim of this paper is to show that under some mild conditions a functional equation of multiplicative $(alpha,beta)$-derivation is superstable on standard operator algebras. Furthermore, we prove that this generalized derivation can be a continuous and an inner $(alpha,beta)$-derivation.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1975
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1975.58.105