@article{ajma20221011,
author={Mashood, Bahman},
title={A Short Proof of Von Neumann¡¯s Conjecture},
journal={American Journal of Mathematical Analysis},
volume={10},
number={1},
pages={1--2},
year={2022},
url={http://pubs.sciepub.com/ajma/10/1/1},
issn={2333-8431},
abstract={Let <i>H</i> be a separable Hilbert space and let <i>B</i>(<i>H</i>) be the set of all bounded operators acting on <i>H</i>. Given <i>T</i>¡Ê <i>B</i>(<i>H</i>), we show that <i>T</i> has a proper invariant subspace, i.e., there exists a proper Hilbert subspace <i>L</i>&#8834;<i>H</i> such that <i>T</i>(<i>L</i>)&#8838;<i>L</i>. This problem has only been solved for special cases so far and in this article we try to offer a solution that can take care of the most general cases.},
doi={10.12691/ajma-10-1-1}
publisher={Science and Education Publishing}
}