Yazar "Fernandes de Oliveira, Luis Antonio" seçeneğine göre listele

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    Classification of exceptional train algebras of rank 3 and type (4, 2): step 1
    (Maltepe Üniversitesi, 2009) Arbach, Roseli; Fernandes de Oliveira, Luis Antonio
    Let F be a field with char(F ) 6= 2, A a commutative F -algebra, not necessarily associative and ? : A ? F a nonzero homomorphism. If there exists ? ? F such that, for all x in A, x 3 ? (1 + ?)?(x)x 2 + ??(x) 2x = 0, then the pair (A, ?) is called a (commutative) train algebra of rank 3. When we consider 2? 6= 1, there is an idempotent e ? A and relative to this element, A has a Peirce decomposition A = F e ? Ue ? Ve, where Ue = {u ? Ker(w)N : 2eu = u} and Ve = {v ? Ker(w) : ev = ?v}. The type of A is the ordered pair of integers (1 + r, s), where r = dim(Ue) and s = dim(Ve). If A = F e ? Ue ? Ve is a train algebra of rank 3 and dimension 6, the possible types of A are (5, 1), (4, 2), (3, 3), (2, 4) and (1, 5). The train algebras of rank 3 and types (n, 1), (3, n - 2), (2, n - 1) and (1, n) had already been classified and so, in order to complete the classification of the train algebras of rank 3 and dimension 6, we have to analyse such algebras of type (4, 2). Here we begin this classification
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    The subdifferential of a convex functional on regulated function space
    (Maltepe Üniversitesi, 2009) Fernandes de Oliveira, Luis Antonio; Arbach, Roseli
    We treat here about the utilization of classic tools of Convex Analysis in the study of optimality conditions in the optimal control convex process for a Volterra-Stietjes linear integral equation in the Banach space G([a, b], X) of the regulated functions in [a, b], that is, the functions f : [a, b] ? X, X a Banach space, that have only discontinuity of first kind, in Dushnik (or interior) sense, and with an equality linear restriction. In this work we report the initial investigation of the subdifferentiability of the lower-semicontinuous convex functional L?,f (x) of Nemytskii type, we had already introduced. This notion is related with the properties of directional derivative and with the notion of Gateaux differentiability. Then natural the investigation of its subgradients and the duality aspects, because the classical result on characterization of its global minimum in x0 by the condition 0 ? ?L?,f (x0).