most recent 30 from http://mathoverflow.net 2013-05-22T23:11:38Z http://mathoverflow.net/feeds/question/49994 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/49994/subspace-existence-which-is-not-dense sabyel 2010-12-20T20:04:07Z 2010-12-20T21:56:33Z

<p>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</p>