COPROXIMINALITY RESULTS IN KÖTHE BOCHNER SPACES
Keywords:
best coapproximation, coproximinal set, K¨othe Bochner function spacesAbstract
As a counterpart to best approximation in normed linear spaces, best coapproximation was introduced by Franchetti and Furi, [3], in 1972. If X is a Banach space, E(X) the K¨othe Bochner function space and G is a closed subspace of X, the problem is: under what conditions the subspace E(G) is proximinal (coproximinal) in E(X)? In this paper we prove that if G is a coproximinal separable subspace of X, then E(G) is coproximinal in E(X). Some other results are presented.
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Published
2016-07-29
How to Cite
Jawdat, J., & Al-Sharif, S. (2016). COPROXIMINALITY RESULTS IN KÖTHE BOCHNER SPACES. Italian Journal of Pure and Applied Mathematics, 36, 783–790. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6485
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Articoli - Forum Editrice
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Copyright (c) 2016 Jamila Jawdat, Sharifa Al-Sharif
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
