تقرير
Peripheral Poisson Boundary on Full Fock space
| العنوان: | Peripheral Poisson Boundary on Full Fock space |
|---|---|
| المؤلفون: | Ghosh, Mainak |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Operator Algebras, Mathematics - Functional Analysis, 46L10, 46L54 |
| الوصف: | The operator space generated by peripheral eigenvectors of a unital normal completely positive map $P$ on a von Neumann algebra has a C*-algebra structure. This C*-algebra is known as the \textit{peripheral Poisson boundary} of $P$. For a separable Hilbert space $H$, consider the full fock space defined over $H$. In this paper, we study the peripheral Poisson boundary of the completely positive map, induced by left creation operators of the basis vectors of $H$, on $B(\mcal F(H))$ and explore its behavior with respect to the Poisson boundary. Comment: 12 pages, comments are welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.11167 |
| رقم الأكسشن: | edsarx.2406.11167 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |