Complementable Operators and their Schur Complements
Functional Analysis
2024-06-18 v1
Abstract
In this paper, we characterize complementable operators and provide more precise expressions for the Schur complement of these operators using a single Douglas solution. We demonstrate the existence of subspaces where the given operator is invariably complementable. Additionally, we investigate the range-Hermitian property of these operators.
Cite
@article{arxiv.2406.11457,
title = {Complementable Operators and their Schur Complements},
author = {Sachin Manjunath Naik and P. Sam Johnson},
journal= {arXiv preprint arXiv:2406.11457},
year = {2024}
}
Comments
17 pages