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Indian Journal of Pure and Applied Mathematics
Article . 2025 . Peer-reviewed
License: Springer Nature TDM
Data sources: Crossref
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arXiv.org e-Print Archive
Preprint . 2024
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2024
License: CC BY NC SA
Data sources: Datacite
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Complementable operators and their Schur complements

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 11 Jul 2025Embargo end date: 01 Jan 2024 English Publisher:Springer Science and Business Media LLCJournal:Indian Journal of Pure and Applied Mathematics, volume 56, pages 1,131-1,143 (issn: 0019-5588, eissn: 0975-7465, Copyright policy )
Authors: Naik, Sachin Manjunath; Johnson, P. Sam;

doi: 10.1007/s13226-025-00828-z , 10.48550/arxiv.2406.11457

arXiv: http://arxiv.org/abs/2406.11457

Complementable operators and their Schur complements

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.

17 pages

Keywords

Mathematics - Functional Analysis, FOS: Mathematics, 47A64, 47B65, Functional Analysis (math.FA)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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