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arXiv · 2609.10757

Antitonicity property of the Moore-Penrose inverse for selfadjoint operators

Guillermina Fongi·M. Celeste Gonzalez
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Abstract

In this article we study the antitonicity property of the Moore-Penrose inverse in the class of selfadjoint operators, with respect to the L\"owner order. For this purpose, we employ different positive decompositions that selfadjoint operators admit. In addition, we relate a weak version of the antitonicity property with Thompson components.

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Guillermina Fongi, M. Celeste Gonzalez. 2026-09-09. Antitonicity property of the Moore-Penrose inverse for selfadjoint operators. https://arxiv.org/abs/2609.10757

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