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.
This research was partially supported by a grant from the National Science Foundation.
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Communicated by J.A. Ball.
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© 2010 Birkhäuser Verlag Basel/Switzerland
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Douglas, R.G., Sarkar, J. (2010). A Note on Semi-Fredholm Hilbert Modules. In: Topics in Operator Theory. Operator Theory: Advances and Applications, vol 202. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0158-0_8
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DOI: https://doi.org/10.1007/978-3-0346-0158-0_8
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