Algebraic Properties of Toeplitz Operators on the Symmetrized Polydisk

نویسندگان

چکیده

This paper is an effort to continue the legacy of classically successful theory Toeplitz operators on Hardy space over unit disk a new domain in $${\mathbb {C}}^d$$ —the symmetrized polydisk. We obtain algebraic characterizations operators, analytic compact perturbation and dual operators. then revisit operator this considered first Biswas Shyam Roy (J Funct Anal 266:6224–6255, 2014), study generalized find commutant lifting type result.

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ژورنال

عنوان ژورنال: Complex Analysis and Operator Theory

سال: 2021

ISSN: ['1661-8254', '1661-8262']

DOI: https://doi.org/10.1007/s11785-021-01108-4