| Autor: |
Sain, Debmalya, Sohel, Shamim, Ghosh, Souvik, Paul, Kallol |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Linear Multilinear Algebra, 71(1), (2021), 47-62 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1080/03081087.2021.2017835 |
| Popis: |
We characterize the best coapproximation(s) to a given matrix $ T $ out of a given subspace $ \mathbb{Y} $ of the space of diagonal matrices $ \mathcal{D}_n $, by using Birkhoff-James orthogonality techniques and with the help of a newly introduced property, christened the $ * $-Property. We also characterize the coproximinal subspaces and the co-Chebyshev subspaces of $ \mathcal{D}_n $ in terms of the $ * $-Property. We observe that a complete characterization of the best coapproximation problem in $ \ell_{\infty}^n $ follows directly as a particular case of our approach. |
| Databáze: |
arXiv |
| Externí odkaz: |
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