Por favor, use este identificador para citar o enlazar este ítem:
http://cimat.repositorioinstitucional.mx/jspui/handle/1008/951| Commutative C∗-Algebras of Toeplitz Operators on the Unit Ball, II. Geometry of the Level Sets of Symbols | |
| RAUL QUIROGA BARRANCO | |
| Acceso Abierto | |
| Atribución-NoComercial-CompartirIgual | |
| Operador Toeplitz | |
| In the first part [16] of this work, we described the commutative C∗- algebras generated by Toeplitz operators on the unit ball Bn whose symbols are invariant under the action of certain Abelian groups of biholomorphisms of Bn. Now we study the geometric properties of these symbols. This allows us to prove that the behavior observed in the case of the unit disk (see [3]) admits a natural generalization to the unit ball Bn. Furthermore we give a classification result for commutative Toeplitz operator C∗-algebras in terms of geometric and “dynamic” properties of the level sets of generating symbols. | |
| Birkhauser | |
| 2008 | |
| Artículo | |
| Inglés | |
| Investigadores | |
| OTRAS | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Matemáticas |
Cargar archivos:
| Fichero | Tamaño | Formato | |
|---|---|---|---|
| RQuiroga2.pdf | 444.69 kB | Adobe PDF | Visualizar/Abrir |