most recent 30 from http://mathoverflow.net 2013-05-22T11:35:22Z http://mathoverflow.net/feeds/user/5715 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/22965/bounded-and-weakly-bounded-sets-in-top-vector-spaces Ralf 2010-04-29T11:55:15Z 2010-09-07T09:29:00Z

<p>Consider a locally convex topological vector space V over the complex numbers. Is it true that every weakly bounded subset of V is indeed bounded? If not, what additional requirements are needed for this to hold? Perhaps someone has a reference, I was not able to find something in the literature.</p> <p>Thanks for your help.</p> <p>Cheers,</p> <p>Ralf</p>