Commutative C∗-Algebras of Toeplitz Operators on the Unit Ball, I. Bargmann-Type Transforms and Spectral Representations of Toeplitz Operators
Extending known results for the unit disk, we prove that for the unit ball Bn there exist n+2 different cases of commutative C∗-algebras generated by Toeplitz operators, acting on weighted Bergman spaces. In all cases the bounded measurable symbols of Toeplitz operators are invariant under the actio...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2007 |
| País: | México |
| Institución: | Centro de Investigación en Matemáticas |
| Repositorio: | Repositorio Institucional CIMAT |
| Idioma: | inglés |
| OAI Identifier: | oai:cimat.repositorioinstitucional.mx:1008/907 |
| Acceso en línea: | http://cimat.repositorioinstitucional.mx/jspui/handle/1008/907 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/MSC/C-Algebras info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/12 info:eu-repo/classification/cti/1201 info:eu-repo/classification/cti/120199 |
| Sumario: | Extending known results for the unit disk, we prove that for the unit ball Bn there exist n+2 different cases of commutative C∗-algebras generated by Toeplitz operators, acting on weighted Bergman spaces. In all cases the bounded measurable symbols of Toeplitz operators are invariant under the action of certain commutative subgroups of biholomorphisms of the unit ball |
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