Results 171 to 180 of about 3,700 (194)
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Derivation and Jordan operators
Integral Equations and Operator Theory, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seddik, A., Charles, J.
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JORDAN *-DERIVATIONS AND QUADRATIC JORDAN *-DERIVATIONS ON REAL C*-ALGEBRAS AND REAL JC*-ALGEBRAS
International Journal of Geometric Methods in Modern Physics, 2013In this work, we introduce quadratic Jordan *-derivations on real C*-algebras and real JC*-algebras and prove the Hyers–Ulam stability of Jordan *-derivations and of quadratic Jordan *-derivations on real C*-algebras and real JC*-algebras. We also establish the superstability of such derivations on real C*-algebras and real JC*-algebras by using a ...
Bodaghi, Abasalt, Park, Choonkil
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Jordan higher derivations, a new approach
2022Summary: Let \(\mathcal{A}\) be a unital algebra over a 2-torsion free commutative ring \(\mathcal{R}\) and \(\mathcal{M}\) be a unital \(\mathcal{A}\)-bimodule. We show that every Jordan higher derivation \(D=\{D_n\}_{n\in \mathbb{N}_0}\) from the trivial extension \(\mathcal{A} \ltimes \mathcal{M}\) into itself is a higher derivation, if \(PD_1(QXP)Q=
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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 ...
Maria Victoria Velasco +1 more
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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 ...
Maria Victoria Velasco +1 more
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Characterization of Jordan homomorphisms and Jordan derivations
Summary: We show that if \(f:A\to B\) is a continuous linear map between Banach algebras satisfying \(f(a\circ b)=f(a)\circ f(b)\) for all \(a,b\in A\) with \(a\circ b=e_A\) or \(ab=ba=e_A\), then \(f\) is a Jordan homomorphism. It is also proved that if \(\delta:A\to X\) is a continuous linear map satisfying \(\delta(a\circ b)=\delta(a)b+a\delta(b ...openaire +2 more sources
Jordan decomposable derivations
Communications in Algebra, 1988A derivation is called Jordan decomposable i-f it can be decomposed into a sum of commuting nil and semi-simple parts. In this paper, we study a subfamily of such derivations, the strongly decomposable derivations. After establishing some basic properties, we present an intrinsic criterion for such a derivation.
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Notes on Jordan \((\sigma,\tau)^*\)-derivations and Jordan triple \((\sigma,\tau)^*\)-derivations.
2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Golbasi, Oznur, Koc, Emine
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A note on nonlinear mixed Jordan triple derivation on *-algebras
Communications in Algebra, 2023Mohd Nazim
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Generalized Jordan Derivations
2001We define a notion of generalized Jordan (resp. Lie) derivations and give some elementary properties of generalized Jordan (resp. Lie) derivations. These categorical results correspond to the results of generalized derivations in [N]. Moreover, we extend Herstein’s result of Jordan derivations on a prime ring to generalized Jordan derivations.
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Jordan Left {g, h}-Derivation over Some Algebras
Indian Journal of Pure and Applied Mathematics, 2021Om Prakash
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