Kernels of Hankel operators and hyponormality of Toeplitz operators |
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| Authors: | Caixing Gu Jonathan E Shapiro |
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| Institution: | (1) California Polytechnic State University, San Luis Obispo, CA 93407, USA; e-mail: cgu@calpoly.edu, jshapiro@calpoly.edu / http://www.calpoly.edu/~jshapiro , US |
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| Abstract: | We give a formula for and describe when . We explore the hyponormality of Toeplitz operators whose symbols are of circulant type and some more general types. In addition,
we discuss formulas for and estimates of the rank of the self-commutator of a hyponormal Toeplitz operator.
Received September 17, 1999 / Revised May 25, 2000 / Published online December 8, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 47-B35 47-B20 |
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