
For n ≥ 1, let Dn be the polydisk in ℂn, and let Tn be the n-torus. L2(Tn) denotes the space of Lebesgue square integrable functions on Tn. In this paper we define slant Toeplitz operators on L2(Tn). Besides giving a necessary and sufficient condition for an operator on L2(Tn) to be slant Toeplitz, we also establish several properties of slant Toeplitz operators.
hyponormal operator, Slant Toeplitz operator, Laurent matrix of level \(n\), Laurent matrix of level n, Toeplitz matrix of level \(n\), Toeplitz matrix of level n, QA1-939, Toeplitz operators, Hankel operators, Wiener-Hopf operators, slant Toeplitz operator, Subnormal operators, hyponormal operators, etc., Hyponormal operator, Mathematics
hyponormal operator, Slant Toeplitz operator, Laurent matrix of level \(n\), Laurent matrix of level n, Toeplitz matrix of level \(n\), Toeplitz matrix of level n, QA1-939, Toeplitz operators, Hankel operators, Wiener-Hopf operators, slant Toeplitz operator, Subnormal operators, hyponormal operators, etc., Hyponormal operator, Mathematics
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