On unbounded commuting Jacobi operators and some related issues

IF 0.3 Q4 MATHEMATICS
A. Osipov
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引用次数: 3

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.
关于无界可换Jacobi算子及其相关问题
摘要我们考虑了由无限Jacobi矩阵生成的两个无界算子是自伴随和可交换的情况。研究发现,如果两个Jacobi矩阵形式上可交换,那么两个相应的算子要么是自伴随和可交换的,要么是可交换的自伴随扩展。在后一种情况下,明确描述了这种扩展。此外,还研究了Jacobi算子自邻接的一些充要条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
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