C*-Algebras of Anisotropic Schrödinger Operators on Trees

被引：0
|
作者：
Sylvain Golénia
机构：
[1] Université de Cergy-Pontoise,Département de Mathématiques
来源：
Annales Henri Poincaré | 2004年 / 5卷
关键词：
Differential Operator; Mathematical Method; Compact Operator; Essential Spectrum; Unbounded Potential;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study a C*-algebra generated by differential operators on a tree. We give a complete description of its quotient with respect to the compact operators. This allows us to compute the essential spectrum of self-adjoint operators affiliated to this algebra. The results cover Schrödinger operators with highly anisotropic, possibly unbounded potentials.
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页码：1097 / 1115
页数：18
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