Regular retractions onto finite dimensional convex sets and the AR-property for Roberts spaces

スポンサーリンク

概要

• 論文の詳細を見る

• It is proved that if X is an n-dimensional closed covex subset in a linear metric space E, then there is a retraction r: E→X such that ∥x-r(x)∥[?]2(n+1)∥x-X∥ for every x∈E. This fact is applied to study the AR-property in linear metric spaces. We identify a class of Roberts spaces with the AR-property. We also give a direct proof that for every p∈(0.1),Lp is a needle point space.

• 筑波大学の論文
• 1997-01-10

著者

• Nguyen To

  Institute Of Mathematics University Of Tsukuba

• Nhu Nguyen

  Institute of Mathematics University of Tsukuba

関連論文

• Regular retractions onto finite dimensional convex sets and the AR-property for Roberts spaces
• LC-decomposability and the AR-properly in linear metric spaces

スポンサーリンク