Abstract
We study Toeplitz operators with radial symbols acting on the Bergman space of the super unit disk. We prove that, generalizing the classical case, every super Toeplitz operator with radial symbol is diagonal. This fact implies that the algebra generated by all super Toeplitz operators with radial symbols is commutative.
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To Nikolai Vasilevski on the occasion of his 60th birthday
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Loaiza, M., S’anchez-Nungaray, A. (2010). On C *-Algebras of Super Toeplitz Operators with Radial Symbols. In: Duduchava, R., Gohberg, I., Grudsky, S.M., Rabinovich, V. (eds) Recent Trends in Toeplitz and Pseudodifferential Operators. Operator Theory: Advances and Applications, vol 210. Springer, Basel. https://doi.org/10.1007/978-3-0346-0548-9_9
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DOI: https://doi.org/10.1007/978-3-0346-0548-9_9
Publisher Name: Springer, Basel
Print ISBN: 978-3-0346-0547-2
Online ISBN: 978-3-0346-0548-9
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