Bhattacharyya, T and Krishna Das, B and Sau, H (2022) Toeplitz operators and Hilbert modules on the symmetrized polydisc. In: International Journal of Mathematics .
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Abstract
When is the collection of S-Toeplitz operators with respect to a tuple of commuting bounded operators S = (S1,S2,..,Sd-1,P), which has the symmetrized polydisc as a spectral set, nontrivial? The answer is in terms of powers of P as well as in terms of a unitary extension. En route, the Brown-Halmos relations are investigated. A commutant lifting theorem is established. Finally, we establish a general result connecting the O-Algebra generated by the commutant of S and the commutant of its unitary extension R. © 2022 World Scientific Publishing Company.
| Item Type: | Journal Article |
|---|---|
| Publication: | International Journal of Mathematics |
| Publisher: | World Scientific |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 04 Jan 2023 09:41 |
| Last Modified: | 04 Jan 2023 09:41 |
| URI: | https://eprints.iisc.ac.in/id/eprint/78735 |
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