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A Pythagorean theorem for partitioned matrices

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. For instance, if the matrix A is partitioned into three blocks A, B, C, then
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https://hal.archives-ouvertes.fr/hal-03526805
Contributor : Jean-Christophe Bourin Connect in order to contact the contributor
Submitted on : Friday, January 14, 2022 - 5:03:17 PM
Last modification on : Friday, April 29, 2022 - 1:56:08 PM
Long-term archiving on: : Friday, April 15, 2022 - 7:15:13 PM

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  • HAL Id : hal-03526805, version 1

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Jean-Christophe Bourin, Eun-Young Lee. A Pythagorean theorem for partitioned matrices. Proceedings of the American Mathematical Society, American Mathematical Society, inPress. ⟨hal-03526805⟩

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