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April 6th, 2009, 12:31 PM  #1 
Newbie Joined: Apr 2009 Posts: 1 Thanks: 0  convex combination of closed and convex sets
Given: is a vector space over the real numbers and are convex and closed sets in V. is a closed and convex subset of . My question : how to proof that is a closed convex set? You can write as the image of the following bilinear function: defined by , maybe it follows from properties of this function? Thanks in advance for any help. 

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