Results 131 to 140 of about 789 (162)

On the norm of Jordan \(*\)-derivations

2020
In this paper, the authors are interested in the norm of the inner Jordan *-derivation acting on the Banach algebra of all bounded linear operators. Using the maximal numerical range, the authors give some lower bounds.
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Jordan $\ast$-derivations with respect to the Jordan product

Publicationes Mathematicae Debrecen, 1996
Summary: In this note, we give a description of Jordan \(*\)-derivations on standard operator algebras with respect to the Jordan product defined by \(A\circ B =\frac 12 (AB +BA)\). That is, we characterize the additive solutions of the functional equation \(E(T \circ T) = T \circ E(T) + E(T) \circ T^*\) (\(T \in A\)), where \(\mathcal A\subset ...
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Jordan Higher Derivations of Incidence Algebras

Bulletin of the Malaysian Mathematical Sciences Society, 2021
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Lizhen Chen, Zhankui Xiao
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On Jordan left derivations

Mathematical Journal of Okayama University, 1992
Let \(R\) be a ring and \(X\) be a left \(R\)-module such that \(aRx = 0\), where \(a \in R\) and \(x \in X\), implies \(a = 0\) or \(x = 0\). Suppose there exists a nonzero additive map \(D : R \to X\) satisfying \(D(a^ 2) = 2aD(a)\) for every \(a \in R\) (such maps are called Jordan left derivations). \textit{J. Vukman} and the reviewer [Proc.
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On the Stability of Jordan *-Derivation Pairs

Results in Mathematics, 2013
Let \(A\) be a \(*\)-ring and \(X\) be an \(A\)-bimodule. If \(L, R:A \to X\) are additive mappings such that \(L(a^3)=L(a)\cdot (a^*)^2+a\cdot R(a)\cdot a^*+a^2L(a)\) and \(R(a^3)=R(a) \cdot(a^*)^2+a\cdot L(a)\cdot a^*+a^2R(a)\) for all \(a\in A\), then \((L,R)\) is called a Jordan \(*\)-derivation pair. In this paper, the authors prove the Hyers-Ulam
Bodaghi, Abasalt, Jang, Sun Young, Park, Choonkil   +2 more
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Jordan derivation of certain Jordan matrix algebras

Linear and Multilinear Algebra, 2008
Let R be an arbitrary 2-torsionfree commutative ring, M(n, R) the matrix algebra consisting of all n × n matrices over R, S(n, R) (resp., D(n, R)) the subset of M(n, R) consisting of all symmetric (resp., diagonal) ones. In this article, we first determine all the Jordan subalgebras of S(n, R) containing D(n, R), then for any given Jordan subalgebra of
Dengyin Wang, Qian Hu, Chunguang Xia
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Ternary Derivations of Jordan Superalgebras

Algebra and Logic, 2014
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Derivation and Jordan operators

Integral Equations and Operator Theory, 1997
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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, 2013
In 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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Random Jordan Derivations

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, Armando R. Villena   +1 more
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