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Open Accesshttps://doi.org/10.1016/j.jat.2006.06.002
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Cite Journal: Journal of Approximation Theory |  Publication Date: Aug 7, 2006 |
 License type: publisher-specific-oa |
Affiliation: University of Jaén
In the space of summable sequences we give an example of a one-dimensional affine subspace C such that the best L p -approximations of 0 from C fail to converge as p ↓ 1 . We thus give an answer to this problem of convergence in infinite measure spaces.
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