Complementable Operators and their Schur Complements
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910491041857536 |
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| author | Naik, Sachin Manjunath Johnson, P. Sam |
| author_facet | Naik, Sachin Manjunath Johnson, P. Sam |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11457 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Complementable Operators and their Schur Complements Naik, Sachin Manjunath Johnson, P. Sam Functional Analysis 47A64, 47B65 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. |
| title | Complementable Operators and their Schur Complements |
| topic | Functional Analysis 47A64, 47B65 |
| url | https://arxiv.org/abs/2406.11457 |