A Perturbation Theory for Core Operators of Hilbert-Schmidt Submodules

作者：Seto Michio^*

来源：Integral Equations and Operator Theory, 2011, 70(3): 379-394.

DOI：10.1007/s00020-011-1876-1

• Hilbert modules
• Hardy spaces
• Toeplitz operators
• Perturbation theory

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.

• 出版日期2011-7