New York Journal of Mathematics
Volume 17a (2011) 213-224


Trieu Le and Bo Li

Compact Toeplitz operators on Segal-Bargmann type spaces

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Published: January 30, 2011
Keywords: Toeplitz operators; Segal-Bargmann type spaces
Subject: Primary 47B35

We consider Toeplitz operators with symbols enjoying a uniform radial limit on Segal-Bargmann type spaces. We show that such an operator is compact if and only if the limiting function vanishes on the unit sphere. The structure of the C*-algebra generated by Toeplitz operators whose symbols admit continuous uniform radial limits is also analyzed.

Author information

Trieu Le:
Department of Mathematics, Mail Stop 942, University of Toledo, Toledo, OH 43606

Bo Li:
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403