A Toeplitz-like operator with rational matrix symbol having poles on the unit circle:\ Matrix representation and spectral analysis
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929519579889664 |
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| author | Groenewald, G. J. ter Horst, S. Jaftha, J. Ran, A. C. M. |
| author_facet | Groenewald, G. J. ter Horst, S. Jaftha, J. Ran, A. C. M. |
| contents | In this paper we consider a class of unbounded Toeplitz operators with rational matrix symbols that have poles on the unit circle and employ state space realization techniques from linear systems theory, as used in our earlier analysis in [11] of this class of operators, to study the connection with semi-infinite Toeplitz matrices and to determine the essential spectrum and resolvent set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19113 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Toeplitz-like operator with rational matrix symbol having poles on the unit circle:\ Matrix representation and spectral analysis Groenewald, G. J. ter Horst, S. Jaftha, J. Ran, A. C. M. Functional Analysis 47B35, 47A53, 93C05 In this paper we consider a class of unbounded Toeplitz operators with rational matrix symbols that have poles on the unit circle and employ state space realization techniques from linear systems theory, as used in our earlier analysis in [11] of this class of operators, to study the connection with semi-infinite Toeplitz matrices and to determine the essential spectrum and resolvent set. |
| title | A Toeplitz-like operator with rational matrix symbol having poles on the unit circle:\ Matrix representation and spectral analysis |
| topic | Functional Analysis 47B35, 47A53, 93C05 |
| url | https://arxiv.org/abs/2409.19113 |