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Nearest Point Projection In Uniformly Convex Banach Spaces

 
  • functional-analysis
  • Jan 14, 2024
Theorem 4.12. Suppose $X$ is a uniformly convex Banach space. For any point $x$ and a nonempty closed convex set $K$, there is a nearest point to $x$ in $K$. $L^p$ spaces with $1
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