The minus order and range additivity
Functional Analysis
2017-01-03 v1
Abstract
We study the minus order on the algebra of bounded linear operators on a Hilbert space. By giving a characterization in terms of range additivity, we show that the intrinsic nature of the minus order is algebraic. Applications to generalized inverses of the sum of two operators, to systems of operator equations and to optimization problems are also presented.
Cite
@article{arxiv.1701.00476,
title = {The minus order and range additivity},
author = {Marko Djikic and Guillermina Fongi and Alejandra Maestripieri},
journal= {arXiv preprint arXiv:1701.00476},
year = {2017}
}
Comments
19 pages