Work

Antitonicity property of the Moore-Penrose inverse for selfadjoint operators

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.10757

Authors: Fongi, Guillermina, Gonzalez, M. Celeste

Institutions: Consejo Nacional de Investigaciones Científicas y Técnicas, National University of Rosario, Centro Internacional Franco-Argentino de Ciencias de la Información y de Sistemas, National University of General Sarmiento, Instituto de Ciencias

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212302629

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