Results 51 to 60 of about 3,700 (194)
Characterizations of (Jordan) derivation on Banach algebra with local actions
, 2022 Let $\mathcal{A}$ be a unital Banach $*$-algebra and $\mathcal{M}$ be a unital $*$-$\mathcal{A}$-bimodule. If $W$ is a left separating point of $\mathcal{M}$, we show that every $*$-derivable mapping at $W$ is a Jordan derivation, and every $*$-left ...
Li, Jiankui, Li, Shan, Luo, Kaijia
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(σ,τ )– (J,R) – DERIVATIONS ON JORDAN IDEALS
مجلة بغداد للعلوم, 2009 Let R be an associative ring with center Z(R). A well known results proved by Bell and kappe concering derivations in prime rings have been extensively studied by many authors, several of these outhers extended these result for a - derivation like ...
Ikram A. Saed
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On certain functional equation in prime rings
Open Mathematics, 2022 The purpose of this paper is to prove the following result. Let RR be prime ring of characteristic different from two and three, and let F:R→RF:R\to R be an additive mapping satisfying the relation F(x3)=F(x2)x−xF(x)x+xF(x2)F\left({x}^{3})=F\left({x}^{2})
Fošner Maja +2 more
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(θ1,θ2) - Derivation Pair on Rings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022 Ring theory is one of the influential branches of abstract algebra. In this field, many algebraic problems have been considered by mathematical researchers who are working in this field.
Mohammed Khalid Shahoodh
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Jordan *-derivations of standard operator algebras [PDF]
Proceedings of the American Mathematical Society, 1994 Let H H be a real or complex Hilbert space,
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The range of a derivation on a Jordan–Banach algebra [PDF]
Studia Mathematica, 2001 I. M. Singer and J. Wermer proved in 1955 that a continuous derivation on a commutative Banach algebra has the range in the (Jacobson) radical of the algebra, and 30 years later M. P. Thomas showed that the continuity assumption is redundant. The noncommutative Singer-Wermer conjecture, whether a (not necessarily continuous) derivation on a Banach ...
Brešar, M., Villena, A. R.
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Jordan derivations on certain Banach algebras
, 2023 In this paper, we study the types of Jordan derivations of a Banach algebra $A$ with a right identity $e$. We show that if $eA$ is commutative and semisimple, then every Jordan derivation of $ A $ is a derivation. In this case, Jordan derivations map $A$
Mehdipour, M. J. +2 more
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Jordan (α,β)-Derivations on Operator Algebras
Journal of Function Spaces, 2017 Let A be a CSL subalgebra of a von Neumann algebra acting on a Hilbert space H. It is shown that any Jordan (α,β)-derivation on A is an (α,β)-derivation, where α,β are any automorphisms on A. Moreover, the nth power (α,β)-maps on A are investigated.
Quanyuan Chen +2 more
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GENERALIZED JORDAN DERIVATIONS ON SEMIPRIME RINGS [PDF]
Journal of the Australian Mathematical Society, 2019 The purpose of this note is to prove the following. Suppose $\mathfrak{R}$ is a semiprime unity ring having an idempotent element $e$ ($e\neq 0,~e\neq 1$) which satisfies mild conditions. It is shown that every additive generalized Jordan derivation on $\mathfrak{R}$ is a generalized derivation.
Ferreira, Bruno L M +2 more
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Notes on Jordan (σ, τ)*-derivations and Jordan triple (σ, τ)*-derivations
, 2013 Let R be a 2-torsion free semiprime *-ring, sigma, tau two epimorphisms of R and f, d : R -> R two additive mappings. In this paper we prove the following results: (i) d is a Jordan (sigma, tau)*-derivation if and only if d is a Jordan triple (sigma, tau)
Öznur Gölbaşı +3 more
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