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arXiv · 1605.03276

Inhomogeneous Jacobi matrices on trees

Ryszard Szwarc
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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.

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Ryszard Szwarc. 2016-05-11. Inhomogeneous Jacobi matrices on trees. https://arxiv.org/abs/1605.03276

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