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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5882| Title: | Algebraic Properties of Toeplitz Operators on the Symmetrized Polydisk |
| Authors: | Krishna Das, B. SAU, HARIPADA Dept. of Mathematics |
| Keywords: | Symmetrized polydisk Toeplitz operator Commutant lifting theorem 2021-MAY-WEEK3 TOC-MAY-2021 2021 |
| Issue Date: | Apr-2021 |
| Publisher: | Springer Nature |
| Citation: | Complex Analysis and Operator Theory, 15(3), 60. |
| Abstract: | This paper is an effort to continue the legacy of the classically successful theory of Toeplitz operators on the Hardy space over the unit disk to a new domain in Cd—the symmetrized polydisk. We obtain algebraic characterizations of Toeplitz operators, analytic Toeplitz operators, compact perturbation of Toeplitz operators and dual Toeplitz operators. We then revisit the operator theory of this domain considered first in Biswas and Shyam Roy (J Funct Anal 266:6224–6255, 2014), to study the generalized Toeplitz operators and find a commutant lifting type result. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5882 https://doi.org/10.1007/s11785-021-01108-4 |
| ISSN: | 1661-8254 1661-8262 |
| Appears in Collections: | JOURNAL ARTICLES |
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