| Autor: |
Sain, Debmalya, Sohel, Shamim, Ghosh, Souvik, Paul, Kallol |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Linear Multilinear Algebra, 72 (1), (2022), 31-49 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1080/03081087.2022.2153101 |
| Popis: |
We study the best coapproximation problem in the Banach space $ \ell_1^n, $ by using Birkhoff-James orthogonality techniques. Given a subspace $\mathbb{{Y}}$ of $\ell_1^n$, we completely identify the elements $x$ in $\ell_1^n,$ for which best coapproximations to $x$ out of $\mathbb{{Y}}$ exist. The methods developed in this article are computationally effective and it allows us to present an algorithmic approach to the concerned problem. We also identify the coproximinal subspaces and co-Chebyshev subspaces of $\ell_1^n$. |
| Databáze: |
arXiv |
| Externí odkaz: |
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