Compression of slant Toeplitz operators on the Hardy space of n -dimensional torus

Gopal Datt; Shesh Kumar Pandey

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 4, page 997-1018
  • ISSN: 0011-4642

Abstract

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This paper studies the compression of a k th-order slant Toeplitz operator on the Hardy space H 2 ( 𝕋 n ) for integers k ≥ 2 and n ≥ 1 . It also provides a characterization of the compression of a k th-order slant Toeplitz operator on H 2 ( 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 ( 𝕋 n ) of n -dimensional torus 𝕋 n .

How to cite

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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 -

References

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