Inhomogeneous Jacobi Matrices on Trees

We study Jacobi matrices on trees with one end at infinity. We show that the defect indices cannot be greater than 1 and give criteria for essential self-adjointness.

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Bibliographic Details
Published in:Constructive approximation 2018-10, Vol.48 (2), p.183-199
Main Author: Szwarc, Ryszard
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Numerical Analysis
Trees
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Description
Summary:We study Jacobi matrices on trees with one end at infinity. We show that the defect indices cannot be greater than 1 and give criteria for essential self-adjointness.
ISSN:0176-4276
1432-0940
DOI:10.1007/s00365-018-9430-x