Geodesic
On self-commutators of Toeplitz operators with rational symbols
Sherwin Kouchekian1 ; James E. Thomson2
1Department of Mathematics & Statistics University of South Alabama Mobile, AL 36668, U.S.A.
2Department of Mathematics Virginia Tech Blacksburg, VA 24061, U.S.A.
Studia Mathematica, Tome 179 (2007) no. 1, pp. 41-47
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We prove that the self-commutator of a Toeplitz operator with unbounded analytic rational symbol has a dense domain in both the Bergman space and the Hardy space of the unit disc. This is a basic step towards establishing whether the self-commutator has a compact or trace-class extension.
DOI : 10.4064/sm179-1-4
Keywords: prove self commutator toeplitz operator unbounded analytic rational symbol has dense domain bergman space hardy space unit disc basic step towards establishing whether self commutator has compact trace class extension

Sherwin Kouchekian  1   ; James E. Thomson  2

1 Department of Mathematics & Statistics University of South Alabama Mobile, AL 36668, U.S.A.
2 Department of Mathematics Virginia Tech Blacksburg, VA 24061, U.S.A. 
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Sherwin Kouchekian; James E. Thomson. On self-commutators of Toeplitz operators
 with rational symbols. Studia Mathematica, Tome 179 (2007) no. 1, pp. 41-47. doi: 10.4064/sm179-1-4

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