A note on semi-Fredholm Hilbert modules
Operator Algebras
2009-03-02 v1 Functional Analysis
Abstract
A classical problem in operator theory has been to determine the spectrum of Toeplitz-like operators on Hilbert spaces of vector-valued holomorphic functions on the open unit ball in C^m. In this note we obtain necessary conditions for k-tuples of such operators to be Fredholm in the sense of Taylor and show they are sufficient in the case of the unit disk.
Cite
@article{arxiv.0902.4714,
title = {A note on semi-Fredholm Hilbert modules},
author = {Ronald G. Douglas and Jaydeb Sarkar},
journal= {arXiv preprint arXiv:0902.4714},
year = {2009}
}
Comments
11 pages, no figure