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Computing the Fredholm index of Toeplitz operators with continuous symbols |
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| Authors: | Nathan S Feldman Paul McGuire |
| Institution: | Department of Mathematics, Washington and Lee University, Lexington, Virginia 24450 ; Department of Mathematics, Bucknell University, Lewisburg, Pennsylvania 17837 |
| Abstract: | 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. |
| Keywords: | Subnormal operator essentially normal operator Fredholm operator Fredholm index |
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