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This paper studies the compression of a th-order slant Toeplitz operator on the Hardy space for integers and . It also provides a characterization of the compression of a th-order slant Toeplitz operator on . Finally, the paper highlights certain properties, namely isometry, eigenvalues, eigenvectors, spectrum and spectral radius of the compression of th-order slant Toeplitz operator on the Hardy space of -dimensional torus .
Datt, Gopal, and Pandey, Shesh Kumar. "Compression of slant Toeplitz operators on the Hardy space of $n$-dimensional torus." Czechoslovak Mathematical Journal 70.4 (2020): 997-1018. <http://eudml.org/doc/297121>.
@article{Datt2020, 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 $k\ge 2$ 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 $\mathbb \{T\}^n$.}, author = {Datt, Gopal, Pandey, Shesh Kumar}, journal = {Czechoslovak Mathematical Journal}, keywords = {Toeplitz operator; compression of slant Toeplitz operator; $n$-dimensional torus; Hardy space}, language = {eng}, number = {4}, pages = {997-1018}, publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic}, title = {Compression of slant Toeplitz operators on the Hardy space of $n$-dimensional torus}, url = {http://eudml.org/doc/297121}, volume = {70}, year = {2020}, }
TY - JOUR AU - Datt, Gopal AU - Pandey, Shesh Kumar TI - Compression of slant Toeplitz operators on the Hardy space of $n$-dimensional torus JO - Czechoslovak Mathematical Journal PY - 2020 PB - Institute of Mathematics, Academy of Sciences of the Czech Republic VL - 70 IS - 4 SP - 997 EP - 1018 AB - 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 $\mathbb {T}^n$. LA - eng KW - Toeplitz operator; compression of slant Toeplitz operator; $n$-dimensional torus; Hardy space UR - http://eudml.org/doc/297121 ER -
