The Jordan-Postnikov Normal Form of aReal Linear Operator

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Submitted: 2024-11-29; Published: 2024-11-29

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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.