Operator equations deriving generalized slant Toeplitz operators on L2(Tn)

Abstract

We completely solve a system of operator equations, whose findings are utilized to generalize the notion of slant Toeplitz operators defined on the Lebesgue space of $n$-dimensional torus ${\mathbb{𝕋}}^n$. Ultimately, certain algebraic and spectral properties of the considered operators are investigated.