Generalized Jacobi operators in Krein spaces
Spectral Theory
2008-09-13 v2 Classical Analysis and ODEs
Abstract
A special class of generalized Jacobi operators which are self-adjoint in Krein spaces is presented. A description of the resolvent set of such operators in terms of solutions of the corresponding recurrence relations is given. In particular, special attention is paid to the periodic generalized Jacobi operators. Finally, the spectral properties of generalized Jacobi operators are applied to prove convergence results for Pad\'e approximants.
Cite
@article{arxiv.0806.1283,
title = {Generalized Jacobi operators in Krein spaces},
author = {Maxim Derevyagin},
journal= {arXiv preprint arXiv:0806.1283},
year = {2008}
}
Comments
17 pages