تقرير
Fuglede-Kadison determinants of matrix-valued semicircular elements and capacity estimates
| العنوان: | Fuglede-Kadison determinants of matrix-valued semicircular elements and capacity estimates |
|---|---|
| المؤلفون: | Mai, Tobias, Speicher, Roland |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Operator Algebras, Mathematics - Functional Analysis, Mathematics - Rings and Algebras |
| الوصف: | We calculate the Fuglede-Kadison determinant of arbitrary matrix-valued semicircular operators in terms of the capacity of the corresponding covariance mapping. We also improve a lower bound by Garg, Gurvits, Oliveira, and Widgerson on this capacity, by making it dimension-independent. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.15922 |
| رقم الأكسشن: | edsarx.2406.15922 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |