Examinando por Materia "Operadores lineales"
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Publicación Acceso abierto Aplicación de la teoría de semigrupos al estudio analítico de un modelo para el condensado de Bose-Einstein(Universidad de Valle, 2019) Castaño Aristizábal, John Ericson; Muñoz Grajales, Juan CarlosPublicación Acceso abierto Rate of growth for the eigenvalues of Schrödinger operators using Schatten-von Neumann Sp classes(Universidad del Valle, 2025) Rivera Valdés, Camilo; Delgado Valencia, Julio CésarThis work aims to study the rate of growth of the eigenvalues of H = (−∆ + V + I)^s. To do so we make use of Weyl’s inequality between singular values and eigenvalues, which provides a bound for the growth of eigenvalues of a compact operator in a Hilbert space, using some additional tools this will give us the rate of decay of the eigenvalues of (−∆ + V + I)^−s, which serve as a direct tool to find the rate of growth of the eigenvalues of H. In order to do this, basic concepts from spectral theory and operator theory are introduced, along with the notion of singular values and Sp classes.