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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Algebraic and spectral properties of dual Toeplitz operators


Authors: Karel Stroethoff and Dechao Zheng
Journal: Trans. Amer. Math. Soc. 354 (2002), 2495-2520
MSC (2000): Primary 47B35, 47B47
Published electronically: February 4, 2002
MathSciNet review: 1885661
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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: http://dx.doi.org/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
Published electronically: 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.
Article copyright: © Copyright 2002 American Mathematical Society