The Frobenius norm and the commutator
By Albrecht Böttcher, David Wenzel. 2008
163 citations recorded by the source corpus.
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.
View Paper: https://www.semanticscholar.org/paper/e7b358eae8471915d1458aa9ab06fa3a56346f4c
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Citations in the corpus
- Variance bounds, with an application to norm bounds for commutators (2009, methodology): “(28) in [4]), which subsequently has been proven by Wenzel, using complex interpolation (Riesz-Thorin) methods [14].”