3 articles for “resolvent”

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Research ArticleOpen accessEvery word in the titleA Priori Estimation of the Resolvent on Approximation of Born-OppenheimerSabria Bouheroum-Mentri, Amina BenbernouIn this study, we estimate the resolvent of the two bodies Shrodinger operator perturbed by a potential of Coulombian type on Hilbert space when h tends to zero. Using the Feschbach method, we first distorted it and then reduced it to a diagonal matrix. We considered a case where two energy levels cross in the classical forbidden region. Under the … …Journal of Mathematics and Statistics, Vol. 3, Issue 2 · 30 Jun 2007 · 6,725 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsConvergence Results for Fixed Point Problems of Accretive Operators in Banach SpacesChioma Lydia Ejikeme, Mujahid Abbas, Dennis Ferdinand AgbebakuThis paper deals with the approximate solutions of accretive maps in a uniformly convex Banach space. A weak convergence of a three - step iterative scheme involving the resolvents of accretive operators is proved. The main result is applied to a convex minimization problem in Hilbert spaces. In particular, the minimizer of a convex and proper lower semi-continuous function defined … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 31 Jul 2020 · 6,462 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsFundamental Properties of the Galois CorrespondenceAyinde S. Olukayode, Oyekan E. AbiodunProblem Statement: Let K is the splitting field of a polynomial f(x) over a field F and αn be the roots of f in K. Let G be embedded as a subgroup of the symmetric group ς. We determined the Galois group G, and the subgroup. Approach: computed some auxiliary polynomials that had roots in K, where the permutation of … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,292 accessesView PDF Cite