The Numerical Determination of Projection Constants

  title={The Numerical Determination of Projection Constants},
  author={Elliott Ward Cheney and Pd Morris},
In approximation theory and applied mathematics the following problem arises frequently: one is presented with a pair of normed linear spaces, Y ⊂ X, and it is required to invent a bounded linear map P: X → Y which will produce “good approximations”. Thus the elements of X are interpreted as entities to be approximated, and the elements of Y are the approximating objects. For a given x ∈ X, Px will be used as an approximation to the element x. 

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