On the Closure of the Convex Hull of a Set
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 147-148
Voir la notice de l'article provenant de la source Cambridge University Press
Let Y be a linear space over the complex plane C, and let F be a mapping on the complex linear space Y ⊕ C into subsets of C with the following properties: for y ∊ Y, λ and μ ∊ C, F(y + μ) is a nonempty and bounded subset of C, F(λy + μ) = λF(y) + μ and F(μ) = {μ}. We shall write f(y + μ) = sup{|λ + μ|: λ ∊ F(y)}, the radius of F(y + μ), y ∊ Y and μ ∊ C. The convex hull (resp. the closure) of a subset M of C is denoted by conv M (resp. ).
Lin, C.-S. On the Closure of the Convex Hull of a Set. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 147-148. doi: 10.4153/CMB-1975-028-x
@article{10_4153_CMB_1975_028_x,
author = {Lin, C.-S.},
title = {On the {Closure} of the {Convex} {Hull} of a {Set}},
journal = {Canadian mathematical bulletin},
pages = {147--148},
year = {1975},
volume = {18},
number = {1},
doi = {10.4153/CMB-1975-028-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-028-x/}
}
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