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A Note on Pointwise Best Approximation

✍ Scribed by Guo Tie-Xin; You Zhao-Yong

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 137 KB
Volume: 93
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1997.3173

No coin nor oath required. For personal study only.

✦ Synopsis

The aim of this note is to fill in a gap in our previous paper in this journal. Precisely, we give a new proof of the following theorem: let (0, A, +) be a _-finite measure space with +(0)>0, 0<p<+ , and Y a separable subspace of a Banach space X. Then Y is proximinal in X iff L p (+, Y) is proximinal in L p (+, X ).

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