Commutative algebras of Toeplitz operators on the supersphere of dimension \((2 | 2)\) (Q1758148)
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scientific article; zbMATH DE number 6103276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commutative algebras of Toeplitz operators on the supersphere of dimension \((2 | 2)\) |
scientific article; zbMATH DE number 6103276 |
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Commutative algebras of Toeplitz operators on the supersphere of dimension \((2 | 2)\) (English)
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8 November 2012
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The paper is devoted to Toeplitz operators on weighted Bergman spaces defined on the super-sphere \(S^{(2|2)}\). The functions invariant under the action of the super-circle are described, and for Toeplitz operators with such symbols an orthonormal basis is found with respect to which they are all diagonal. Based on this fact, the spectra of these Toeplitz operators are determined, and the commutativity of the respective \(C^*\)-algebra is established.
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Toeplitz operator
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Bergman space
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super-manfifolds
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graded manifolds
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\(C^*\)-algebras
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0.869318425655365
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0.8660027980804443
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0.8567646741867065
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0.854772686958313
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0.8534030914306641
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