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arXiv · 0710.0797

The eigenvalues of limits of radial Toeplitz operators

Daniel Suárez
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Abstract

Let $A^2$ be the Bergman space on the unit disk. A bounded operator $S$ on $A^2$ is called radial if $Sz^n = λ_n z^n$ for all $n\ge 0$, where $λ_n$ is a bounded sequence of complex numbers. We characterize the eigenvalues of radial operators that can be approximated by Toeplitz operators with bounded symbols.

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Daniel Suárez. 2007-10-03. The eigenvalues of limits of radial Toeplitz operators. https://doi.org/10.1112/blms%2Fbdn042

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