Abstract
In this paper, we introduce the $k$-th order slant Toeplitz operator on the Lebesgue space $L^2(\mathbb{T}^n)$ for a fixed integer $k\ge2$ and also investigate certain algebraic properties of the $k$-th order slant Toeplitz operator on the Lebesgue space $L^2(\mathbb{T}^n)$. The complete characterization of the $k$-th order slant Toeplitz operator is also given. Finally, norms and the spectral radius of the introduced operator are discussed.
Citation
Gopal DATT. Shesh Kumar PANDEY. "Slant Toeplitz operators on the Lebesgue space of $n$-dimensional torus." Hokkaido Math. J. 49 (3) 363 - 389, October 2020. https://doi.org/10.14492/hokmj/1607936533
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