Inhomogeneous Jacobi matrices on trees
classification
🧮 math.FA
keywords
matricesjacobipolynomialstreesassociatedcannotcasecertain
read the original 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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