Douglas, Ronald G. ; Sarkar, Jaydeb (2010) A Note on Semi-Fredholm Hilbert Modules Topics in Operator Theory . pp. 143-150.
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Official URL: https://doi.org/10.1007/978-3-0346-0158-0_8
Related URL: http://dx.doi.org/10.1007/978-3-0346-0158-0_8
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 ℂm. 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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature. |
| Keywords: | Hilbert modules; Quasi-free Hilbert modules; Fredholm tuple; Corona property. |
| ID Code: | 140432 |
| Deposited On: | 21 Jan 2026 07:05 |
| Last Modified: | 21 Jan 2026 07:05 |
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