Bhattacharyya, T and Rastogi, S and Kumar, UV (2022) The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases. In: Complex Analysis and Operator Theory, 16 (6).
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Official URL: https://doi.org/10.1007/s11785-022-01257-0
Abstract
We show that the joint spectrum of two commuting isometries can vary widely depending on various factors. It can range from being small (of measure zero or an analytic disc for example) to the full bidisc. En route, we discover a new model pair in the negative defect case and relate it to the modified bi-shift.
| Item Type: | Journal Article |
|---|---|
| Publication: | Complex Analysis and Operator Theory |
| Publisher: | Birkhauser |
| Additional Information: | The copyright for this article belongs to the Birkhauser. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 04 Aug 2022 09:15 |
| Last Modified: | 04 Aug 2022 09:15 |
| URI: | https://eprints.iisc.ac.in/id/eprint/75288 |
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