Bhattacharyya, Tirthankar ; Rastogi, Shubham ; Kumar, U. Vijaya (2022) The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases Complex Analysis and Operator Theory, 16 (6). ISSN 1661-8254
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Official URL: http://doi.org/10.1007/s11785-022-01257-0
Related URL: http://dx.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: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Verlag. |
| ID Code: | 134411 |
| Deposited On: | 06 Jan 2023 07:55 |
| Last Modified: | 09 Jan 2023 10:15 |
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