Sums of commuting square-zero transformations |
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| Authors: | Nika Novak |
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| Institution: | aFaculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia |
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| Abstract: | We show that a linear transformation on a vector space is a sum of two commuting square-zero transformations if and only if it is a nilpotent transformation with index of nilpotency at most 3 and the codimension of  in kerT is greater than or equal to the dimension of the space  . We also characterize products of two commuting unipotent transformations with index 2. |
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| Keywords: | Commuting matrices and linear transformations Square-zero matrices and transformations Sums |
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