Complementable Operators and their Schur Complements
Mathematics - Functional Analysis
FOS: Mathematics
47A64, 47B65
Functional Analysis (math.FA)
DOI:
10.48550/arxiv.2406.11457
Publication Date:
2024-01-01
AUTHORS (2)
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.<br/>17 pages<br/>
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