On derivations arising in differential equations |
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| Authors: | David London |
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| Institution: | Technion—Israel Institute of Technology , Haifa, Israel |
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| Abstract: | Let L be a linear transformation on the set of all n×n matrices over an algebraically closed field of characteristic 0. It is shown that if AB=BA implies L(A)L(B)=L(B)L(A) and if either L is nonsingular or the implication in the hypothesis can also be reversed, then L is a sum of a scalar multiple of a similarity transformation and a linear functional times the identity transformation. |
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