A Perturbation Theory for Core Operators of Hilbert-Schmidt Submodules

被引：0
|
作者：
Michio Seto
机构：
[1] Shimane University,Department of Mathematics
来源：
Integral Equations and Operator Theory | 2011年 / 70卷
关键词：
Primary 47B32; Secondary 47B35; Hilbert modules; Hardy spaces; Toeplitz operators; Perturbation theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We discuss a perturbation theory for core operators of Hilbert-Schmidt submodules in the Hardy space over the bidisk. It is shown that eigenvalues of core operators perturbed by automorphisms of the bidisk have a certain continuity, and also we show that the family of eigenspaces of simple eigenvalues has a local cross section.
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页码：379 / 394
页数：15
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