Curvature Inequalities and Extremal Operators
| Autor: | Misra, Gadadhar, Reza, Md. Ramiz |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Illinois J. Math. 63, no. 2 (2019), 193-217 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1215/00192082-7768711 |
| Popis: | A curvature inequality is established for contractive commuting tuples of operators in the Cowen-Douglas class of rank n. Properties of the extremal operators, that is, the operators which achieve equality, are investigated. Specifically, a substantial part of a well known question due to R. G. Douglas involving these extremal operators, in the case of the unit disc, is answered. Comment: 19 pages |
| Databáze: | arXiv |
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