On unbounded commuting Jacobi operators and some related issues-Reference-Cited by-同舟云学术

On unbounded commuting Jacobi operators and some related issues

Published:2019-01-01 Issue:1 Volume:6 Page:82-91
ISSN:2299-3282
Container-title:Concrete Operators
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Author:

Osipov Andrey

Abstract

Abstract 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. In the latter case such extensions are explicitly described. Also, some necessary and sufficient conditions for self-adjointness of Jacobi operators are studied.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/conop-2019-0008/pdf

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