Inhomogeneous Jacobi matrices on trees
Functional Analysis
2016-05-12 v1
Abstract
We study Jacobi matrices on trees with one end at inifinity. We show that the defect indices cannot be greater than 1 and give criteria for essential selfadjointness. We construct certain polynomials associated with matrices, which mimic orthogonal polynomials in the classical case. Nonnegativity of Jacobi matrices is studied as well.
Cite
@article{arxiv.1605.03276,
title = {Inhomogeneous Jacobi matrices on trees},
author = {Ryszard Szwarc},
journal= {arXiv preprint arXiv:1605.03276},
year = {2016}
}