Paired kernels and truncated Toeplitz operators
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910788860510208 |
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| author | Câmara, M. Cristina Partington, Jonathan R. |
| author_facet | Câmara, M. Cristina Partington, Jonathan R. |
| contents | This paper considers paired operators in the context of the Lebesgue Hilbert space $L^2$ on the unit circle and its subspace, the Hardy space $H^2$. The kernels of such operators, together with their analytic projections, which are generalizations of Toeplitz kernels, are studied. Inclusion relations between such kernels are considered in detail, and the results are applied to describing the kernels of finite-rank asymmetric truncated Toeplitz operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02563 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Paired kernels and truncated Toeplitz operators Câmara, M. Cristina Partington, Jonathan R. Functional Analysis Complex Variables 30H10, 47B35, 47B38 This paper considers paired operators in the context of the Lebesgue Hilbert space $L^2$ on the unit circle and its subspace, the Hardy space $H^2$. The kernels of such operators, together with their analytic projections, which are generalizations of Toeplitz kernels, are studied. Inclusion relations between such kernels are considered in detail, and the results are applied to describing the kernels of finite-rank asymmetric truncated Toeplitz operators. |
| title | Paired kernels and truncated Toeplitz operators |
| topic | Functional Analysis Complex Variables 30H10, 47B35, 47B38 |
| url | https://arxiv.org/abs/2409.02563 |