Stability of closedness of convex cones under linear mappings II
نویسندگان
چکیده
In this paper we revisit the question of when the continuous linear image of a fixed closed convex cone K is closed. Specifically, we improve the main result of [3] by showing that for all, except for at most a σ-porous set, of the linear mappings T from Rn into Rm, not only is T (K) closed, but there is also a neighbourhood around T whose members also preserve the closedness of K. AMS (2002) subject classification: Primary 47N10; Secondary 90C25, 90C22.
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Stability of closedness of convex cones under linear mappings
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