On the structure of Jordan *-derivations
Matej Brešar,Borut Zalar +1 more
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This article is published in Colloquium Mathematicum.The article was published on 1992-01-01 and is currently open access. It has received 59 citations till now. The article focuses on the topics: Ring (mathematics) & Structure (category theory).read more
Citations
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On centralizers of semiprime rings
TL;DR: In this paper, it was shown that the Jordan centralizers and centralizers of a semiprime ring coincide with the left centralizer of the additive mapping of the semiprocessor.
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A condition for a subspace of B(H) to be an ideal
TL;DR: For real or complex Hilbert spaces, the subspace A ⊂ B (H) is an ideal if and only if TA − AT ∈ A for every T ∈ B(H), A ∈ H, A ∆ A.
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Jordan *-derivations of standard operator algebras
TL;DR: In this article, it is shown that every additive Jordan *-derivation J: A → B (H) is of the form J(A) = AT − TA* for some T ∈ B(H).
On Centralizers of Semiprime Gamma Rings
Fazlul Hoque,A C Paul +1 more
TL;DR: In this article, it was shown that every Jordan centralizer of a 2-torsion free semiprime Γ-ring M satisfying a certain assumption is a centralizer.
References
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Jordan derivations on semiprime rings
TL;DR: In this article, it was shown that every Jordan derivation on a 2-torsion free semisimple ring is a derivation, which generalizes a result of A. M. N. Sinclair in (5).
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Double centralizers and extensions of c*-algebras
TL;DR: In this paper, it was shown that the classes of extensions of a C*-algebra A by a C * -algebra C are in one to one correspondence with the *-homomorphisms from C to the quotient algebra M(A)/A. The connection with the extension and the work of Hochschild has apparently not been made by those using the centralizer concept.
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Jordan mappings of semiprime rings
TL;DR: Theorem 2.3 as discussed by the authors shows that every Jordan homomorphism is also an associative subring of a ring R. Theorem 3.1.1 Theorem 4.