Results 311 to 320 of about 4,914,484 (359)

Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra

Georgian Mathematical Journal, 2023
Let 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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Nonlinear *-Jordan-type derivations on *-algebras

Rocky Mountain Journal of Mathematics, 2021
Let 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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Characterizations of Jordan derivations and Jordan homomorphisms

Linear and Multilinear Algebra, 2011
Let 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 derivations of incidence algebras

, 2021
Let 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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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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Derivation of leaf-area index from quality of light on the forest floor

, 1969
Leaf—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, Jordan Right and Jordan Left Derivations on Convolution Algebras

Bulletin of the Iranian Mathematical Society, 2018
In 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, Mohammad Javad Mehdipour   +1 more
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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 ...
M. V. Velasco, Armando R. Villena
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An Algorithmic Derivation of the Jordan Canonical Form

, 1983
In this note the authors give a derivation of the Jordan Canonical form which is very algorithmic in nature. It requires no preparation other than the Schur decomposition and the solution of linear systems.
R. Fletcher, D. Sorensen
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Jordan decomposable derivations

Communications in Algebra, 1988
A 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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