Topological Convex Spaces |
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abelian action absorbing set affine mapping affine space affine subset affine transformations bounded affine functionals C₁ C₂ closed convex subset closed set closed subset common fixed point compact convex set compact convex space compact topological convex containing continuous transitive action convex action convex hull convex neighborhood convex set convex subset convex topological convex convolution CORNE CORNELL CORNELL CORNELL CORNELL UNIVERSITY Definition extreme point EZRA CORNELL family of affine FOUNDED LIBRARY FOUNDED UNIVERSITY functional f identity mapping K₁ lemma Let f let g Let us prove LIBRARY CORNELL CORNELL LIBRARY LIBRARY locally convex topological lower semi-continuous affine mapping g measure open half space OUNDED point of A(K Proof proposition semi-continuous affine functional set of affine subset of K₂ suffices to prove topological convex space topological vector spaces UNIVERSIT UNIVERSITY LIBRARY UNIVERSITY UNIVE VyɛK weak topology