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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Computing the Fredholm index of Toeplitz operators with continuous symbols


Authors: Nathan S. Feldman and Paul McGuire
Journal: Proc. Amer. Math. Soc. 133 (2005), 1357-1364
MSC (2000): Primary 47B20, 47A53; Secondary 47A10
Published electronically: October 15, 2004
MathSciNet review: 2111959
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07642-7
PII: S 0002-9939(04)07642-7
Keywords: Subnormal operator, essentially normal operator, Fredholm operator, Fredholm index
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
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.