How big can the commutator of two matrices be and how big is it typically
By Albrecht Böttcher, David Wenzel. 2005
81 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/0c4f5fe8cdefb6226718be0f67b62f5d56e01787
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In Algebra and Number Theory
In Computational Theory and Mathematics
In Numerical Analysis
Citations in the corpus
- Normal Scalar Curvature Conjecture and its applications (2008, methodology): “Proof of the Böttcher-Wenzel Conjecture In this section, we prove Conjecture 3.”
- Inequalities for commutators of positive operators (2007, unknown): “For the case when A or B is normal, the inequality (3) has been improved in [8] so that ‖AB − BA‖2 √ 2‖A‖2‖B‖2.”
- Variance bounds, with an application to norm bounds for commutators (2009, background): “In [3], Böttcher and Wenzel studied the commutator from the following mathematical viewpoint: fixing the Frobenius norm of X and Y , they asked “How big can the Frobenius norm of the commutator be and how big is it typically?” By a trivial application of the triangle inequality and Hölder’s inequali”