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Antitonicity property of the Moore-Penrose inverse for selfadjoint operators
Abstract
In this article we study the antitonicity property of the Moore-Penrose inverse in the class of selfadjoint operators, with respect to the Löwner 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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BibTeX
@misc{fongi2026antitonicity,
title = {{Antitonicity property of the Moore-Penrose inverse for selfadjoint operators}},
author = {Guillermina Fongi and M. Celeste Gonzalez},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10757},
eprint = {2609.10757},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10757},
}
RIS
TY - UNPB
TI - Antitonicity property of the Moore-Penrose inverse for selfadjoint operators
AU - Guillermina Fongi
AU - M. Celeste Gonzalez
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.10757
UR - https://arxiv.org/abs/2609.10757
AB - In this article we study the antitonicity property of the Moore-Penrose inverse in the class of selfadjoint operators, with respect to the Löwner 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.
ER -