On a class of ideals of the Toeplitz algebra on the Bergman space

Author:
Trieu Le

Journal:
Proc. Amer. Math. Soc. **136** (2008), 3571-3577

MSC (2000):
Primary 47B35; Secondary 47B47

Published electronically:
June 6, 2008

MathSciNet review:
2415041

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Abstract | References | Similar Articles | Additional Information

Abstract: Let denote the full Toeplitz algebra on the Bergman space of the unit ball . For each subset of , let denote the closed two-sided ideal of generated by all with . It is known that , the ideal of compact operators, and . Despite these ``extreme cases'', there are subsets of so that . This paper gives a construction of a class of such subsets.

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Additional Information

**Trieu Le**

Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

Email:
trieu.le@utoronto.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-08-09569-5

Received by editor(s):
August 16, 2007

Published electronically:
June 6, 2008

Communicated by:
Marius Junge

Article copyright:
© Copyright 2008
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.