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The behavior of best -approximations as . A counterexample of convergence |
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| Authors: | M. Marano J.M. Quesada |
| Affiliation: | aDepartamento de Matemáticas, Universidad de Jaén, 23071 Jaén, Spain |
| Abstract: | In the space of summable sequences we give an example of a one-dimensional affine subspace C such that the best Lp-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. |
| Keywords: | mml5" > text-decoration:none color:black" href=" /science?_ob=MathURL&_method=retrieve&_udi=B6WH7-4KKFPFM-1&_mathId=mml5&_user=10&_cdi=6843&_rdoc=6&_acct=C000069468&_version=1&_userid=6189383&md5=194a0d2e3c3e6f80e1b190ee82279771" title=" Click to view the MathML source" alt=" Click to view the MathML source" >Lp-approximations 1-Polya algorithm Sequence spaces |
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