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• W3048487286 startingPage "124490" @default.
• W3048487286 abstract "Monomial Toeplitz operators Tzpz¯q on the weighted Bergman space of the unit ball in Cn are natural extension of the weighted shift operators. In higher dimensions, dim ker⁡Tzpz¯q=∞ may occur for non-trivial case, thus complex symmetric phenomena will appear. In this paper, we completely characterize when the monomial Toeplitz operator Tzpz¯q on the weighted Bergman space is JA-symmetric, where JAf(z)=f(Az‾)‾ with the symmetric unitary n×n matrix A. Moreover, we also determine all possible forms of A such that Tzpz¯q is JA-symmetric. As an application, we construct the weakly closed unital commutative algebra generated by complex symmetric Toeplitz operators." @default.
• W3048487286 created "2020-08-18" @default.
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• W3048487286 date "2020-12-01" @default.
• W3048487286 modified "2023-09-26" @default.
• W3048487286 title "Complex symmetric monomial Toeplitz operators on the unit ball" @default.
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• W3048487286 doi "https://doi.org/10.1016/j.jmaa.2020.124490" @default.
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