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arXiv · 2211.11111

Spectral theorem approach to commutative C* -algebras generated by Toeplitz operators on the unit ball: quasi-elliptic related cases

Grigori Rozenblum·Nikolai Vasilevski
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Abstract

We consider commutative C* -algebras of Toeplitz operators in the weighted Bergman space on the unit ball in $\mathbb{C}^{\mathbf{n}}$. For the algebras of elliptic type we find a new representation, namely as the algebra of operators which are functions of certain collections of commuting unbounded self-adjoint operators in the Bergman space.

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BibTeXRIS

Grigori Rozenblum, Nikolai Vasilevski. 2022-11-20. Spectral theorem approach to commutative C* -algebras generated by Toeplitz operators on the unit ball: quasi-elliptic related cases. https://arxiv.org/abs/2211.11111

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