Czechoslovak Mathematical Journal, Vol. 70, No. 4, pp. 997-1018, 2020
Compression of slant Toeplitz operators on the Hardy space of $n$-dimensional torus
Gopal Datt, Shesh Kumar Pandey
Received February 27, 2019. Published online July 21, 2020.
Abstract: This paper studies the compression of a $k$th-order slant Toeplitz operator on the Hardy space $H^2(\mathbb{T}^n)$ for integers $k\ge2$ and $n\ge1$. 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 $\mathbb{T}^n$.
Keywords: Toeplitz operator; compression of slant Toeplitz operator; $n$-dimensional torus; Hardy space
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Affiliations: Gopal Datt, Department of Mathematics, PGDAV College, University of Delhi, Ring Road, Nehru Nagar, New Delhi 110065, India, e-mail: gopal.d.sati@gmail.com; Shesh Kumar Pandey (corresponding author), Department of Mathematics, University of Delhi, Guru Tegh Bahadur Road, Delhi 110 007, India, e-mail: sheshkumar.1992@gmail.com
