تقرير
Fuglede-Kadison determinants of matrix-valued semicircular elements and capacity estimates
العنوان: | Fuglede-Kadison determinants of matrix-valued semicircular elements and capacity estimates |
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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. |