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Bulletin of the London Mathematical Society Advance Access published online on May 13, 2008
Bulletin of the London Mathematical Society, doi:10.1112/blms/bdn042
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© 2008 London Mathematical Society

The eigenvalues of limits of radial Toeplitz operators

Daniel Suárez

Departament de Matemàtiques
Universitat Autònoma de Barcelona
08193 Bellaterra
Barcelona
Spain

Received 30 April 2007. Revision received 21 February 2008.

Let A2 be the Bergman space on the unit disk. A bounded operator S on A2 is called radial if Szn = {lambda}n zn for all n ≥ 0, where {lambda}n is a bounded sequence of complex numbers. We characterize the eigenvalues of radial operators that belong to the Toeplitz algebra.

2000 Mathematics Subject Classification 32A36 (primary), 47L80 (secondary).


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