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Algebraic and spectral properties of dual Toeplitz operators
Author(s):
Karel
Stroethoff;
Dechao
Zheng
Journal:
Trans. Amer. Math. Soc.
354
(2002),
2495-2520.
MSC (2000):
Primary 47B35, 47B47
Posted:
February 4, 2002
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Abstract:
Dual Toeplitz operators on the orthogonal complement of the Bergman space are defined to be multiplication operators followed by projection onto the orthogonal complement. In this paper we study algebraic and spectral properties of dual Toeplitz operators.
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Additional Information:
Karel
Stroethoff
Affiliation:
Department of Mathematical Sciences, University of Montana, Missoula, Montana 59812
Email:
ma_kms@selway.umt.edu
Dechao
Zheng
Affiliation:
Mathematics Department, Vanderbilt University, Nashville, Tennessee 37240
Email:
zheng@math.vanderbilt.edu
DOI:
10.1090/S0002-9947-02-02954-9
PII:
S 0002-9947(02)02954-9
Received by editor(s):
March 10, 2000
Received by editor(s) in revised form:
September 3, 2001
Posted:
February 4, 2002
Additional Notes:
The second author was supported in part by the National Science Foundation and the University Research Council of Vanderbilt University.
Copyright of article:
Copyright
2002,
American Mathematical Society
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