Computing the Fredholm index of Toeplitz operators with continuous symbols

@inproceedings{Feldman2005ComputingTF,
title={Computing the Fredholm index of Toeplitz operators with continuous symbols},
author={Nathan S. Feldman},
year={2005}
}

We show how to compute the Fredholm index of a Toeplitz operator with a continuous symbol constructed from any subnormal operator with compact self-commutator. We also show that the essential spectral pictures of such Toeplitz operators can be prescribed arbitrarily.