On commutators in matrix theory
Geoffrey R. Goodson · Operators and Matrices · 2010
We investigate intertwining relations arising from commutators such as AB -BA = D when AD = DA , and AB -BA T = D when AD = DA T , where A,B and D are n -byn matrices. Depending on the properties of A , such equations often force D to be zero or at least nilpotent, and it is the properties of D that we investigate. We briefly discuss the situation when