most recent 30 from http://mathoverflow.net 2013-05-22T08:20:58Z http://mathoverflow.net/feeds/question/111079 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/111079/density-of-adjoint-operators Slavoj Žižek 2012-11-01T00:07:21Z 2012-11-01T00:07:21Z

<p>I am interested in operators on a non-reflexive Banach space. Let $X$ be a Banach space and let $L(X)$ be the algebra of operators acting on $X$. We may embed $L(X)$ into $L(X^{\ast\ast})$ by $\Phi(T)=T^{\ast\ast}$; this is an algebra homomorphism. Is the image $\Phi(L(X))$ dense in $L(X^{**})$ in the sense of some of the classical operator topologies like WOT, SOT etc.?</p>