| Title:
|
Compression of slant Toeplitz operators on the Hardy space of $n$-dimensional torus (English) |
| Author:
|
Datt, Gopal |
| Author:
|
Pandey, Shesh Kumar |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
997-1018 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $\mathbb {T}^n$. (English) |
| Keyword:
|
Toeplitz operator |
| Keyword:
|
compression of slant Toeplitz operator |
| Keyword:
|
$n$-dimensional torus |
| Keyword:
|
Hardy space |
| MSC:
|
47B35 |
| idZBL:
|
07285975 |
| idMR:
|
MR4181792 |
| DOI:
|
10.21136/CMJ.2020.0088-19 |
| . |
| Date available:
|
2020-11-18T09:44:12Z |
| Last updated:
|
2023-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148407 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
