JOURNAL ARTICLE
Spectral theorem approach to commutative C⁎-algebras generated by Toeplitz operators on the unit ball: Quasi-elliptic related cases
Grigori RozenblumNikolai Vasilevski
Year: 2023 Journal: Greater South Information System
Abstract
We consider commutative C⁎-algebras of Toeplitz operators in the weighted Bergman space on the unit ball in Cn. 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.
Keywords:
Toeplitz matrix Commutative property Operator theory Bergman space Unit sphere Unit (ring theory) Algebra over a field Spectral theorem Hilbert space
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Topics
Holomorphic and Operator Theory
Physical Sciences → Mathematics → Applied Mathematics
Advanced Operator Algebra Research
Physical Sciences → Mathematics → Mathematical Physics
Algebraic and Geometric Analysis
Physical Sciences → Mathematics → Applied Mathematics
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