Let $R$ be a 2-torsion free ring and $U$ be a square closed Lie ideal of $R$. Suppose that $alpha, beta$ are automorphisms of $R$. An additive mapping $delta: R longrightarrow R$ is said to be a Jordan left $(alpha,beta)$-derivation of $R$ if $delta(x^2)=alpha(x)delta(x)+beta(x)delta(x)$ holds for all $xin R$. In this paper it is established that if $R$ admits an additive mapping $G : Rlongrigh...

X iv :c s/ 04 12 00 5v 1 [ cs .S C ] 2 D ec 2 00 4 Jordan Normal and Rational Normal Form Algorithms Bernard Parisse, Morgane Vaughan Institut Fourier CNRS-UMR 5582 100 rue des Maths Université de Grenoble I 38402 St Martin d'Hères Cédex Résumé In this paper, we present a determinist Jordan normal form algorithms based on the Fadeev formula : (λ · I − A) ·B(λ) = P (λ) · I where B(λ) is (λ · I −...

Let g be a finite dimensional Lie algebra over a field k of characteristic zero. An element x of g is said to have an abstract Jordan-Chevalley decomposition if there exist unique s, n ∈ g such that x = s + n, [s, n] = 0 and given any finite dimensional representation π : g → gl(V ) the Jordan-Chevalley decomposition of π(x) in gl(V ) is π(x) = π(s) + π(n). In this paper we prove that x ∈ g has...

In this paper we provide a proof of the Carleson $\varepsilon^2$-conjecture. This result yields characterization (up to exceptional sets zero length) tangent points Jordan curve in terms finiteness associated $\varepsilon^2$-square function.

Isidore Fleishcher, Centre de recherches mathematiques, Universite de Montreal, C.P. 6128, succ. Centre-ville, Montreal, QC H3C 3J7,Canada. Green’s Theorem with NO Differentiability. The result is established for a Jordan measurable region with locally connected rectifiable boundary. The integrand F for the new plane integral to be used is a function of axisparallel rectangles, finitely additiv...