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Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra
Georgian Mathematical Journal, 2023Let 𝒜 be a prime ∗-algebra. For any A , B ∈ A \mathscr{A},\mathscr{B}\in\mathcal{A} , a product A ⋆ B = A B * + B A * \mathscr{A}\star\mathscr{B}=\mathscr{A}\mathscr{B}^{*}+\mathscr{B}\mathscr{A}^{*} is called a bi-skew Jordan product. In this paper,
A. Khan, H. Alhazmi
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Characterizations of Jordan derivations and Jordan homomorphisms
Linear and Multilinear Algebra, 2011Let 𝒜 be a unital Banach algebra and ℳ be a unital 𝒜-bimodule. We show that if δ is a linear mapping from 𝒜 into ℳ satisfying δ(ST) = δ(S)T +Sδ(T) for any S, T ∈ 𝒜 with ST = W, where W is a left or right separating point of ℳ, then δ is a Jordan derivation.
Jiren Zhou, Jiankui Li
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Nonlinear *-Jordan-type derivations on *-algebras
Rocky Mountain Journal of Mathematics, 2021Let 𝒜 be a unital ∗-algebra with the unit I. Assume that 𝒜 contains a nontrivial projection P which satisfies X𝒜P=0 implies X=0 and X𝒜(I−P)=0 implies X=0.
Changjing Li, Yuanyuan Zhao, F. Zhao
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Derivations on Banach-Jordan Pairs [PDF]
The Quarterly Journal of Mathematics, 2001 A classical topic in the theory of Banach structures is the automatical continuity of derivations. From 1968, when Johnson and Sinclair proved the continuity of derivations acting on semisimple associative Banach algebras, until now, several algebraic conditions on a Banach algebra \(A\) which ensure the continuity of its derivations have been ...
A. López, H. Marhnine, C. Zarhouti
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Nonlinear Jordan derivations of incidence algebras
, 2021Let be a locally finite preordered set, a two-torsion-free commutative ring with unity and the incidence algebra of X over In this paper, all the nonlinear Jordan derivations of are determined.
Yuping Yang
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Derivation of leaf-area index from quality of light on the forest floor
, 1969Leaf—area index of a forest can be measured by determining the ratio of light at 800 μm to that at 675 μm on the forest floor. It is based on the principle that leaves absorb relatively more red than infrared light, and therefore, the more leaves that ...
C. Jordan
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Jordan derivations of alternative rings
Communications in Algebra, 2020Let be a unital alternative ring with nontrivial idempotent and be a Jordan derivation. Then is of the form , where d is a derivation of and δ is a singular Jordan derivation of . Moreover, d and δ are uniquely determined. This extends the main result of
Bruno Leonardo Macedo Ferreira +3 more
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Notes on Jordan (σ, τ)*-derivations and Jordan triple (σ, τ)*-derivations [PDF]
Aequationes mathematicae, 2012 Let R be a 2-torsion free semiprime *-ring, σ, τ 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 (σ, τ)*-derivation if and only if d is a Jordan triple (σ, τ)*-derivation. (ii) f is a generalized Jordan (σ, τ)*-derivation if and only if f is a generalized Jordan triple (σ, τ)*
Öznur Gölbaşi, Emine Koç
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Jordan, Jordan Right and Jordan Left Derivations on Convolution Algebras
Bulletin of the Iranian Mathematical Society, 2018In this paper, we investigate Jordan derivations, Jordan right derivations and Jordan left derivations of $$L_0^\infty ({{\mathcal {G}}})^*$$ . We show that any Jordan (right) derivation on
Mohammad Hossein Ahmadi Gandomani +1 more
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1994
A classical nonassociative operators topic is the continuity of Jordan derivations on Banach algebras which have some aditional property. We recall that a Jordan derivation on a Banach algebra A is a linear mapping D : A → A such that D(a 2) = D(a)a + aD(a), ∀a ∈ A, or equivalently satisfying that D(a • b) = D (a) • b + a • D(b), ∀a, b ∈ A, (where, as ...
M. V. Velasco, Armando R. Villena
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A classical nonassociative operators topic is the continuity of Jordan derivations on Banach algebras which have some aditional property. We recall that a Jordan derivation on a Banach algebra A is a linear mapping D : A → A such that D(a 2) = D(a)a + aD(a), ∀a ∈ A, or equivalently satisfying that D(a • b) = D (a) • b + a • D(b), ∀a, b ∈ A, (where, as ...
M. V. Velasco, Armando R. Villena
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