Reverse Order Law for Closed Range Operators in Hilbert Spaces
Functional Analysis
2022-07-14 v1
Abstract
We present more than 50 results including some range inclusion results to characterize reverse order law for Moore-Penrose inverse of closed range Hilbert space operators. We use basic properties of Moore-Penrose inverse to prove the results. Some examples are also provided to illustrate failure cases to hold the reverse order law in infinite dimensional settings.
Cite
@article{arxiv.2207.06123,
title = {Reverse Order Law for Closed Range Operators in Hilbert Spaces},
author = {Athira Satheesh K. and K. Kamaraj and P. Sam Johnson},
journal= {arXiv preprint arXiv:2207.06123},
year = {2022}
}
Comments
15 pages