Commutators which commute with one factor

@article{Shapiro1997CommutatorsWC,
  title={Commutators which commute with one factor},
  author={H. Shapiro},
  journal={Pacific Journal of Mathematics},
  year={1997},
  volume={181},
  pages={323-336}
}
  • H. Shapiro
  • Published 1997
  • Mathematics
  • Pacific Journal of Mathematics
Let A and B be n × n matrices, let C = ABA−1B−1 be the multiplicative commutator of A and B, and assume AC = CA. Olga Taussky (1961) examined the structure of A and B for the case where A and B are unitary. Marcus and Thompson (1966) generalized her results to the case where A and C are assumed normal. We look at this problem for general A, with particular attention to the cases where A is diagonalizable or nonderogatory. Now let [A,B] = AB − BA be the additive commutator of A and B and assume… Expand
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