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line-closed

Last-modified: 2010-08-30 (月) 19:07:04

Definition Edit

  • Let K be a convex subset of a linear topological space X. We say that K is line-closed if L∩K is a closed subset of L (in its unique linear topology) for every line L in X.

Reference Edit

  • Rosenthal, Haskell, L^1-convexity. Functional analysis, 156--174, Lecture Notes in Math., 1332, Springer, Berlin, 1988.