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.
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页码：355 / 362
页数：8
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