A quantitative version of the commutator theorem for zero trace matrices Academic Article uri icon

abstract

  • Let A be an m × m complex matrix with zero trace and let ε > 0. Then there are m × m matrices B and C such that A = [B,C] and ||B||||C|| ≤ Kεmε||A|| where K ε depends only on ε. Moreover, the matrix B can be taken to be normal.

altmetric score

  • 0.25

author list (cited authors)

  • Johnson, W. B., Ozawa, N., & Schechtman, G.

citation count

  • 3

complete list of authors

  • Johnson, William B||Ozawa, Narutaka||Schechtman, Gideon

publication date

  • August 2012