تقرير
Invariant subspaces of the Cesaro operator
| العنوان: | Invariant subspaces of the Cesaro operator |
|---|---|
| المؤلفون: | Gallardo-Gutierrez, Eva A., Partington, Jonathan R., Ross, William T. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, 47A15, 47A55, 47B15 |
| الوصف: | This paper explores various classes of invariant subspaces of the classical Ces\`{a}ro operator $C$ on the Hardy space $H^2$. We provide a new characterization of the finite co-dimensional $C$-invariant subspaces, based on earlier work of the first two authors, and determine exactly which model spaces are $C$-invariant subspaces. We also describe the $C$-invariant subspaces contained in model spaces and establish that they are all cyclic. Along the way, we re-examine an associated Hilbert space of analytic functions on the unit disk developed by Kriete and Trutt. We also make a connection between the adjoint of the Ces\`{a}ro operator and certain composition operators on $H^2$ which have universal translates in the sense of Rota. Comment: 36 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.06923 |
| رقم الأكسشن: | edsarx.2307.06923 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |