please tell me whether converse of this is true or not ? "Let M be a subspace (may not be closed) of normed space X. show that M is not dense if there exist non zero functional from X* (the dual space of X) such that f(m)=0 , for all m belongs to M Required : if there exist non zero functional from X* (the dual space of X) such that f(m)=0 , for all m belongs to M then question arise whetherwe can conclude that M is not dense
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closed as too localized by Andrey Rekalo, Pete L. Clark, Will Jagy, Andy Putman, Nate Eldredge Dec 20 2010 at 20:26 |
