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The Jordan-Postnikov Normal Form of aReal Linear Operator

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

We give a direct proof of the following result: for anyreal linear operator there exists a basis in which it has a Jordan-Postnikov matrix. This matrix for a real linear operator is deter-mined uniquely up to the order of direct summands on the diago-nal.

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