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line-compact

Last-modified: 2010-08-31 (火) 09:41:16

Definition Edit

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

Property Edit

Reference Edit

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