کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602322 1631167 2008 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Frobenius norm and the commutator
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The Frobenius norm and the commutator
چکیده انگلیسی

In an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of two matrices. This conjecture was recently proved by Seak-Weng Vong and Xiao-Qing Jin and independently also by Zhiqin Lu. We here give a completely different proof of this inequality, prove some related results, and embark on the corresponding question for unitarily invariant norms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issues 8–9, 16 October 2008, Pages 1864-1885