International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 9, Pages 513-523
doi:10.1155/S0161171201010304

Explicit solution for an infinite dimensional generalized inverse eigenvalue problem

Kazem Ghanbari

School of Mathematics and Statistics, Carleton University, ON, Ottawa K1S 5B6, Canada

Abstract

We study a generalized inverse eigenvalue problem (GIEP), Ax=λBx, in which A is a semi-infinite Jacobi matrix with positive off-diagonal entries ci>0, and B= diag (b0,b1,…), where bi≠0 for i=0,1,…. We give an explicit solution by establishing an appropriate spectral function with respect to a given set of spectral data.