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Jordan centralizer maps on trivial extension algebras
The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali +2 more
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Jordan–Wigner transformations for tree structures [PDF]
AbstractThe celebrated Jordan–Wigner transformation provides an efficient mapping between spin chains and fermionic systems in one dimension. Here we extend this spin–fermion mapping to arbitrary tree structures, which enables mapping between fermionic and spin systems with nearest-neighbor coupling.
Backens, Stefan +2 more
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Symmetry and Self-Duality in Categories of Probabilistic Models [PDF]
This note adds to the recent spate of derivations of the probabilistic apparatus of finite-dimensional quantum theory from various axiomatic packages. We offer two different axiomatic packages that lead easily to the Jordan algebraic structure of finite ...
Alexander Wilce
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ON THE JORDAN STRUCTURE OF HOLOMORPHIC MATRICES
Let X ⊂ CN be open, and let A be an n × n matrix of holomorphic functions on X. We call a point ξ ∈ X Jordan stable for A if ξ is not a splitting point of the eigenvalues of A and, moreover, there is a neighborhood U of ξ such that, for each 1 ≤ k ≤ n, the number of Jordan blocks of size k in the Jordan normal forms of A(ζ) is the same for all ζ ∈ U. H.
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On the structure of Jordan *-derivations [PDF]
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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The Structure of Simple Noncommutative Jordan Superalgebras [PDF]
In this paper we describe all subalgebras and automorphisms of simple noncommutative Jordan superalgebras $K_3(α,β,γ)$ and $D_t(α,β,γ)$ and compute the derivations of the nontrivial simple finite-dimensional noncommutative Jordan superalgebras.
Kaygorodov, Ivan +2 more
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On non-commutative Minkowski spheres
The purpose of the following is to try to make sense of the stereo- graphic projection in a non-commutative setup. To this end, we consider the open unit ball of a ternary ring of operators, which naturally comes equipped with a non-commutative version ...
Stachó Lászlo L., Werner Wend
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Background Studies in the literature have relied on a single instrument to assess stress levels and sources among nursing students in Jordan and in other Arab countries.
Dina Masha’al +2 more
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A projection–less approach to Rickart Jordan structures
The main goal of this paper is to introduce and explore an appropriate notion of weakly Rickart JB$^*$-triples. We introduce weakly order Rickart JB$^*$-triples, and we show that a C$^*$-algebra $A$ is a weakly (order) Rickart JB$^*$-triple precisely when it is a weakly Rickart C$^*$-algebra.
Jorge J. Garcés +3 more
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The effects of big data analytics and workplace pressures on productivity [PDF]
This study set out to find out on how big data analytics, workload, work wages, and organizational structure pressures affect employee job performance and overall business performance in the Jordan banking sector in the context of that country's
Hanandeh Ahmad +2 more
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