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Computing the Fredholm index of Toeplitz operators with continuous symbols
Author(s):
Nathan
S.
Feldman;
Paul
McGuire
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1357-1364.
MSC (2000):
Primary 47B20, 47A53;
Secondary 47A10
Posted:
October 15, 2004
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Additional information
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
DOI:
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
Posted:
October 15, 2004
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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