Algebraic Properties of Toeplitz Operators on the Symmetrized Polydisk

Krishna Das, B.; SAU, HARIPADA

DR Home
→
PUBLICATIONS & PATENTS
→
JOURNAL ARTICLES
→
View Item

dc.contributor.author	Krishna Das, B.	en_US
dc.contributor.author	SAU, HARIPADA	en_US
dc.date.accessioned	2021-05-21T09:13:25Z
dc.date.available	2021-05-21T09:13:25Z
dc.date.issued	2021-04	en_US
dc.identifier.citation	Complex Analysis and Operator Theory, 15(3), 60.	en_US
dc.identifier.issn	1661-8254	en_US
dc.identifier.issn	1661-8262	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5882
dc.identifier.uri	https://doi.org/10.1007/s11785-021-01108-4	en_US
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Symmetrized polydisk	en_US
dc.subject	Toeplitz operator	en_US
dc.subject	Commutant lifting theorem	en_US
dc.subject	2021-MAY-WEEK3	en_US
dc.subject	TOC-MAY-2021	en_US
dc.subject	2021	en_US
dc.title	Algebraic Properties of Toeplitz Operators on the Symmetrized Polydisk	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Complex Analysis and Operator Theory	en_US
dc.publication.originofpublisher	Foreign	en_US