SOME RESULTS ON ABSOLUTE CONTINUITY FOR UNBOUNDED JACOBI MATRICES

被引：0

作者：

Dombrowski, Joanne ^{[1
]}

机构：

[1] Wright State Univ, Dept Math, Dayton, OH 45435 USA

来源：

OPERATORS AND MATRICES | 2017年 / 11卷 / 02期

关键词：

Jacobi matrices; absolute continuity; commutator equations;

D O I：

10.7153/oam-11-23

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This brief paper presents several results which offer a useful approach for studying the absolute continuity of spectral measures associated with some Jacobi matrix operators. The operators are modeled as multiplication operators on a dense domain of a function space with a polynomial basis. Properties of these polynomials and commutator equations are used to obtain results on absolute continuity.

引用

页码：355 / 362

页数：8

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