Unbounded Jacobi Matrices with a Few Gaps in the Essential Spectrum: Constructive Examples

被引：0
作者：
Anne Boutet de Monvel
Jan Janas
Serguei Naboko
机构：
[1] Université Paris Diderot Paris 7,Institut de Mathématiques de Jussieu
[2] Polish Academy of Sciences,Institute of Mathematics
[3] St. Petersburg University,Department of Mathematical Physics, Institute of Physics
来源：
Integral Equations and Operator Theory | 2011年 / 69卷
关键词：
Primary 47B36; Secondary 47A10; 47B25; Jacobi matrix; essential spectrum; gaps; asymptotics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give explicit examples of unbounded Jacobi operators with a few gaps in their essential spectrum. More precisely a class of Jacobi matrices whose absolutely continuous spectrum fills any finite number of bounded intervals is considered. Their point spectrum accumulates to +∞ and −∞. The asymptotics of large eigenvalues is also found.
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页码：151 / 170
页数：19
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