# 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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• PDF

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