Discrete Approximation of Non-Compact Operators Describing Continuum-of-Alleles Models

Simple item page
dc.creatorRedner, Oliver
dc.date2003-01-03
dc.date2004-12-19
dc.date.accessioned2026-07-07T04:54:15Z
dc.date.available2026-07-07T04:54:15Z
dc.descriptionWe consider the eigenvalue equation for the largest eigenvalue of certain kinds of non-compact linear operators given as the sum of a multiplication and a kernel operator. It is shown that, under moderate conditions, such operators can be approximated arbitrarily well by operators of finite rank, which constitutes a discretization procedure. For this purpose, two standard methods of approximation theory, the Nyström and the Galerkin method, are generalized. The operators considered describe models for mutation and selection of an infinitely large population of individuals that are labeled by real numbers, commonly called continuum-of-alleles (COA) models.
dc.description22 pages; small changes
dc.identifierhttps://arxiv.org/abs/math/0301024
dc.identifierhttp://arxiv.org/abs/math/0301024
dc.identifierProc. Edinb. Math. Soc. (2004) 47, 449--472
dc.identifierdoi:10.1017/S0013091503000476
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66175
dc.subjectSpectral Theory
dc.subject45C05; 47A58; 47B34
dc.titleDiscrete Approximation of Non-Compact Operators Describing Continuum-of-Alleles Models
dc.typetext

Files

Collections

arXiv