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arXiv · 2011.13261

A Pythagorean theorem for partitioned matrices

Jean-Christophe Bourin·Eun-Young Lee
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Abstract

We establish a Pythagorean theorem for the absolute values of the blocks of a partitioned matrix. This leads to a series of remarkable operator inequalities.

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Jean-Christophe Bourin, Eun-Young Lee. 2020-11-26. A Pythagorean theorem for partitioned matrices. https://arxiv.org/abs/2011.13261

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