Approximation Results for Reflectionless Jacobi Matrices

被引：7
|
作者：
Poltoratski, Alexei [1 ]
Remling, Christian [2 ]
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
[2] Univ Oklahoma, Dept Math, Norman, OK 73019 USA
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2011年 / 2011卷 / 16期
基金：
美国国家科学基金会;
关键词：
SCHRODINGER-OPERATORS; POLYNOMIALS;
D O I：
10.1093/imrn/rnq227
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study spaces of reflectionless Jacobi matrices. The main theme is the following type of question: Given a reflectionless Jacobi matrix, is it possible to approximate it by other reflectionless and, typically, simpler Jacobi matrices of a special type? For example, can we approximate by periodic operators?.
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页码：3575 / 3617
页数：43
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