Complementable operators and their Schur complements
No Thumbnail Available
Date
2025
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Indian National Science Academy
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. © The Indian National Science Academy 2025.
Description
Keywords
Complementable operators, Schur complement, Weakly complementable operators
Citation
Indian Journal of Pure and Applied Mathematics, 2025, 56, 3, pp. 1131-1143