Moore-Penrose Inverse of some Linear Maps on Infinite-Dimensional Vector Spaces
Rings and Algebras
2020-07-07 v2
Abstract
The aim of this work is to characterize linear maps of inner pro\-duct infinite-dimensional vector spaces where the Moore-Penrose inverse exists. This MP inverse generalizes the well-known Moore-Penrose inverse of a matrix . Moreover, a method for the computation of the MP inverse of some endomorphisms on infinite-dimensional vector spaces is given. As an application, we study the least norm solution of an infinite linear system from the Moore-Penrose inverse offered.
Keywords
Cite
@article{arxiv.1810.04082,
title = {Moore-Penrose Inverse of some Linear Maps on Infinite-Dimensional Vector Spaces},
author = {V. Cabezas Sánchez and F. Pablos Romo},
journal= {arXiv preprint arXiv:1810.04082},
year = {2020}
}
Comments
17 pages