Misra, G and Reza, MR (2019) Curvature inequalities and extremal operators. In: Illinois Journal of Mathematics, 63 (2). pp. 193-217.
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Official URL: https://doi.org/10.1215/00192082-7768711
Abstract
A curvature inequality is established for contractive commuting tuples of operators T in the Cowen–Douglas class BnΩ/ of rank n defined on some bounded domain Ω in Cm. Properties of the extremal operators (that is, the operators which achieve equal-ity) 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.
| Item Type: | Journal Article |
|---|---|
| Publication: | Illinois Journal of Mathematics |
| Publisher: | University of Illinois |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 21 Oct 2022 11:08 |
| Last Modified: | 21 Oct 2022 11:08 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77482 |
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