Report
When is a CPD weighted shift similar to a subnormal operator?
| العنوان: | When is a CPD weighted shift similar to a subnormal operator? |
|---|---|
| المؤلفون: | Jabłoński, Zenon Jan, Jung, Il Bong, Stochel, Jan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Primary 47B20, 47B37, Secondary 43A35 |
| الوصف: | We prove that a CPD unilateral weighted shift $W_{\lambda}$ of type III is a quasi-affine transform of the operator $M_z$ of multiplication by the independent variable on the $L^2(\rho)$-closure of analytic complex polynomials on the complex plane, where $\rho$ is a measure precisely determined by $W_{\lambda}$. By using this model, we provide necessary and sufficient conditions for similarity of $W_{\lambda}$ to $M_z$. Necessary conditions for a CPD operator to be similar to a subnormal one are given. A variety of concrete classes of non-subnormal CPD unilateral weighted shifts similar to subnormal operators are established. Comment: 29 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2411.04911 |
| رقم الانضمام: | edsarx.2411.04911 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |