تقرير
Peripheral Poisson Boundary on Full Fock space
العنوان: | Peripheral Poisson Boundary on Full Fock space |
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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. |