Results 41 to 50 of about 3,700 (194)
On the range of a Jordan *-derivation [PDF]
, 1996 summary:In this paper, we examine some questions concerned with certain ``skew'' properties of the range of a Jordan *-derivation. In the first part we deal with the question, for example, when the range of a Jordan *-derivation is a complex subspace ...
Battyányi, Péter
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Generalized Jordan derivation on nest algebras
, 2009 Let N be a nest on a Banach space X, and AlgN be the associated nest algebra. In this paper, we prove that, if there is a nontrivial element in N which is complemented in X, then every additive generalized Jordan derivation from AlgN into itself is an ...
Hou, Jinchuan, Qi, Xiaofei
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The Unipotency of Linear Groups Generated by Matrices with No More than Five Jorden Blocks
Journal of Harbin University of Science and Technology, 2022 Aiming at the question whether the group generated by two unipotent matrices whose Jordan blocks are of order no more than five is a unipotent group, based on the fundamental definition of nilpotent matrix, we use the matrix logarithm tool to obtain some
YANG Xin-song, LI Jia-xin
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A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras
Journal of Mathematics, 2021 In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
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Nonlinear Skew Lie-Type Derivations on ∗-Algebra
Mathematics, 2023 Let A be a unital ∗-algebra over the complex fields C. For any H1,H2∈A, a product [H1,H2]•=H1H2−H2H1* is called the skew Lie product. In this article, it is shown that if a map ξ : A→A (not necessarily linear) satisfies ξ(Pn(H1,H2,…,Hn))=∑i=1nPn(H1,…,Hi ...
Md Arshad Madni +2 more
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On the range of a normal Jordan $^*$-derivation [PDF]
, 1994 summary:In this note, by means of the spectrum of the generating operator, we characterize the self-adjointness and closedness of the range of a normal and a self-adjoint Jordan *-derivation ...
Molnár, Lajos
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A note on derivations in semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2005 We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D:R→R such that D(xn)=∑j=1nxn−jD(x)xj−1 is fulfilled for all x∈R.
Joso Vukman, Irena Kosi-Ulbl
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On the structure of Jordan *-derivations [PDF]
Colloquium Mathematicum, 1992 Let \(\mathbb{R}\) be a \(*\)-ring. An additive mapping \(E:\mathbb{R}\to\mathbb{R}\) is called a Jordan \(*\)-derivation if \[ E(x^ 2)= E(x)x^*+ xE(x) \qquad \text{for all } x\in\mathbb{R}. \] Examples of such mappings are given by \(x\to ax^*-xa\), \(a\) is a fixed element of \(\mathbb{R}\), which are called inner Jordan \(*\)-derivations.
Brešar, Matej, Zalar, Borut
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Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, 𝔄 is the closed subspace lattice including 0 an H, then 𝔄 is a nest, accordingly alg 𝔄 = {T ∈ B(H) : TN⊆N, ∀ N ∈ 𝔄} is a nest algebra. It will be shown that of nest algebra, generalized derivations are generalized inner derivations, and bilocal Jordan ...
Dangui Yan, Chengchang Zhang
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Jordan and Jordan higher all-derivable points of some algebras [PDF]
Linear and Multilinear Algebra, 2013 In this paper, we characterize Jordan derivable mappings in terms of Peirce decomposition and determine Jordan all-derivable points for some general bimodules. Then we generalize the results to the case of Jordan higher derivable mappings. An immediate application of our main results shows that for a nest $\mathcal{N}$ on a Banach $X$ with the ...
Li, Jiankui, Pan, Zhidong, Shen, Qihua
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