Geodesic
Compression of slant Toeplitz operators on the Hardy space of $n$-dimensional torus
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 997-1018.

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This paper studies the compression of a $k$th-order slant Toeplitz operator on the Hardy space $H^2(\mathbb {T}^n)$ for integers $k\ge 2$ and $n\ge 1$. It also provides a characterization of the compression of a $k$th-order slant Toeplitz operator on $H^2(\mathbb {T}^n)$. Finally, the paper highlights certain properties, namely isometry, eigenvalues, eigenvectors, spectrum and spectral radius of the compression of $k$th-order slant Toeplitz operator on the Hardy space $H^2(\mathbb {T}^n)$ of $n$-dimensional torus $\mathbb {T}^n$.
DOI : 10.21136/CMJ.2020.0088-19
Classification : 47B35
Keywords: Toeplitz operator; compression of slant Toeplitz operator; $n$-dimensional torus; Hardy space 
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Datt, Gopal; Pandey, Shesh Kumar. Compression of slant Toeplitz operators on the Hardy space of $n$-dimensional torus. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 997-1018. doi : 10.21136/CMJ.2020.0088-19. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0088-19/

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