most recent 30 from http://mathoverflow.net 2013-05-19T22:40:44Z http://mathoverflow.net/feeds/user/24872 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/101253/surjectivity-of-operators-on-linfty/101612#101612 Amir 2012-07-07T23:57:17Z 2012-07-07T23:57:17Z

<p>I could prove that if $T$ has dense then $T$ is surjective, in the cases where $T=S^{*}+W$, $W$ is weakly compact and $S:l^1\rightarrow l^1$ or when $T$ has totally disconnected spectrum.</p>

http://mathoverflow.net/questions/101253/surjectivity-of-operators-on-linfty Amir 2012-07-03T20:26:26Z 2012-07-07T23:57:17Z

<p>Can anyone give me an example of an bounded and linear operator <code>$T:\ell^\infty\to \ell^\infty$</code> (the space of bounded sequences with the usual sup-norm), such that T has dense range, but is not surjective?</p>