On unbounded commuting Jacobi operators and some related issues

We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are self-adjoint and commute. It is found that if two Jacobi matrices formally commute, then two corresponding operators are either self-adjoint and commute, or admit a commuting self-adjoint extensions....

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Bibliographic Details
Main Author: Osipov Andrey
Format: Article
Language:English
Published: De Gruyter 2019-09-01
Series:Concrete Operators
Subjects:
Online Access:https://doi.org/10.1515/conop-2019-0008