Complementable Operators and their Schur Complements

2024/06/17 by Naik, Sachin Manjunath, Johnson, P. Sam · 1 citation
#47A64 #47B65 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2406.11457

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.

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