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arXiv:2211.11111 [math.FA]AbstractReferencesReviewsResources

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

Grigori Rozenblum, Nikolai Vasilevski

Published 2022-11-20Version 1

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.

Categories: math.FA, math.CV, math.OA
Subjects: 47B35, 47L80, 47A13, 32A36
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