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?.

引用

页码：3575 / 3617

页数：43

共 48 条

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