A quantitative version of the commutator theorem for zero trace matrices

W. B. Johnson, N. Ozawa, G. Schechtman
2012 Proceedings of the National Academy of Sciences of the United States of America  
Let A be a m× m complex matrix with zero trace and let >0. Then there are m× m matrices B and C such that A=[B,C] and BC< K_ m^A where K_ depends only on . Moreover, the matrix B can be taken to be normal.
doi:10.1073/pnas.1202411109 fatcat:6qj5lkjtivhwjktw7shfkzzmgi