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Potter, Wielandt, and Drazin on the matrix equation $AB=ωBA$, with some new answers to old questions

Olga Holtz·Volker Mehrmann·Hans Schneider
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Abstract

In this partly historical and partly research oriented note, we display a page of an unpublished mathematical diary of Helmut Wielandt's for 1951. There he gives a new proof of a theorem due to H. S. A. Potter on the matrix equation $AB = ωBA$, which is related to the $q$-binomial theorem, and asks some further questions, which we answer. We also describe results by M. P. Drazin and others on this equation.

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Olga Holtz, Volker Mehrmann, Hans Schneider. 2005-12-27. Potter, Wielandt, and Drazin on the matrix equation $AB=ωBA$, with some new answers to old questions. https://arxiv.org/abs/math/0512607

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