Complementable operators and their Schur complements Complementable operators and their schur complements

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...

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Bibliographic Details
Published inIndian journal of pure and applied mathematics Vol. 56; no. 3; pp. 1131 - 1143
Main Authors Naik, Sachin Manjunath, Johnson, P. Sam
Format Journal Article
LanguageEnglish
Published New Delhi Indian National Science Academy 01.09.2025
Springer Nature B.V
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
Operators
Original Research
Subspaces
Complementable operators
47B65
47A64
47A07
Schur complement
Weakly complementable operators
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ISSN0019-5588
0975-7465
DOI10.1007/s13226-025-00828-z

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Summary: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.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-025-00828-z