تقرير
A Toeplitz-like operator with rational symbol having poles on the unit circle III: the adjoint
| العنوان: | A Toeplitz-like operator with rational symbol having poles on the unit circle III: the adjoint |
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| المؤلفون: | Groenewald, G. J., Ter Horst, S., Jaftha, J., Ran, A. C. M. |
| المصدر: | Integral Equations and Operator Theory, 2019 |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, 47B35, 47A53, 47A68 |
| الوصف: | This paper contains a further analysis of the Toeplitz-like operators $T_\omega$ on $H^p$ with rational symbol $\omega$ having poles on the unit circle that were previously studied in [5.6]. Here the adjoint operator $T_\omega^*$ is described. In the case where $p=2$ and $\omega$ has poles only on the unit circle $\mathbb{T}$, a description is given for when $T_\omega^*$ is symmetric and when $T_\omega^*$ admits a selfadjoint extension. Also in the case where $p=2$, $\omega$ has only poles on $\mathbb{T}$ and in addition $\omega$ is proper, it is shown that $T_\omega^*$ coincides with the unbounded Toeplitz operator defined by Sarason in [10]. Comment: 19 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00020-019-2542-2 |
| URL الوصول: | http://arxiv.org/abs/1812.07239 |
| رقم الأكسشن: | edsarx.1812.07239 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00020-019-2542-2 |
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