作者hips (hips)
看板Math
標題[分析] open map
時間Mon Dec 28 20:58:27 2009
Suppose X and Y are topological vector spaces, and dim Y is finite.
Let f: X --> Y be a surjective linear map
1. Prove that f is an open map
(If V is open in X then f(V) is open in Y)
2. Prove that f is continuous iff ker(f) is closed.
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