13 articles for “Hilbert Space”

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Research ArticleOpen accessIn the abstractA 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 abstractFixed Points of Non-expansive Operators on Weakly Cauchy Normed SpacesSahar Mohamed AliWe proved the existence of fixed points of non-expansive operators defined on weakly Cauchy spaces in which parallelogram law holds, the given normed space is not necessarily be uniformly convex Banach space or Hilbert space, we reduced the completeness and the uniform convexity assumptions which imposed on the given normed space. …Journal of Mathematics and Statistics, Vol. 3, Issue 2 · 30 Jun 2007 · 6,545 accessesView PDF Cite

Research ArticleOpen accessIn the abstractLinks between Dynamic Physical Systems and Operator Theory Issues Concerning Energy Balances and StabilityM. D.L. SenThis study relates the properties of operators with the well- known concepts of positive realness and passivity properties in dynamic systems and their associate transfer functions. Those concepts together with very close related ones are first examined from a physical point of view. Then, they are related to hyper-stability and properties of transfer functions while the hyper-stability theorem is revisited … …American Journal of Applied Sciences, Vol. 1, Issue 3 · 30 Sep 2004 · 6,826 accessesView PDF Cite