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On the norms of metric projections

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Publication:1160854
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DOI10.1016/0021-9045(81)90092-7zbMath0477.46022OpenAlexW2068328301MaRDI QIDQ1160854

Mark A. Smith

Publication date: 1981

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90092-7


zbMATH Keywords

radial projectionLipschitz constantproximinal subspaceChebyshev subspacesuniformly non-squaremetric projection bound


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)


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Convex sets in minimum-distance estimation ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Constante rectangle et biais d'un espace de Banach ⋮ Projections onto hyperplanes in Banach spaces ⋮ Metric projection bound an the Lipschitz constant of the radial retraction



Cites Work

  • On continuity of metric projections
  • Uniformly non-square Banach spaces
  • On the Basis Problem in Normed Spaces
  • Inner products in normed linear spaces
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