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A note on the best approximation in spaces of affine functions

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 Added by Maysam Maysami Sadr
 Publication date 2019
  fields
and research's language is English




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The proximinality of certain subspaces of spaces of bounded affine functions is proved. The results presented here are some line



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We show that every finite-dimensional Alexandrov space X with curvature bounded from below embeds canonically into a product of an Alexandrov space with the same curvature bound and a Euclidean space such that each affine function on X comes from an affine function on the Euclidean space.
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