Computing the Fredholm index of Toeplitz operators with continuous symbols
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- by Nathan S. Feldman and Paul McGuire PDF
- Proc. Amer. Math. Soc. 133 (2005), 1357-1364 Request permission
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.References
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Additional Information
- Nathan S. Feldman
- Affiliation: Department of Mathematics, Washington and Lee University, Lexington, Virginia 24450
- Email: feldmanN@wlu.edu
- Paul McGuire
- Affiliation: Department of Mathematics, Bucknell University, Lewisburg, Pennsylvania 17837
- Email: pmcguire@bucknell.edu
- Received by editor(s): October 6, 2003
- Received by editor(s) in revised form: December 23, 2003
- Published electronically: October 15, 2004
- Communicated by: Joseph A. Ball
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 1357-1364
- MSC (2000): Primary 47B20, 47A53; Secondary 47A10
- DOI: https://doi.org/10.1090/S0002-9939-04-07642-7
- MathSciNet review: 2111959