most recent 30 from http://mathoverflow.net 2013-05-19T18:35:38Z http://mathoverflow.net/feeds/question/78164 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/78164/quasinilpotence-and-finite-spectrum-ii jjcale 2011-10-14T19:14:38Z 2011-10-14T19:14:38Z

<p>Let A be a quasinilpotent operator on a Hilbert space and let every operator of the algebra generated by $A$ and $A^{*}$ have finite spectrum. Does then follow, that A is nilpotent ? </p> <p>See also <a href="http://mathoverflow.net/questions/77177/quasinilpotence-and-finite-spectrum" rel="nofollow">http://mathoverflow.net/questions/77177/quasinilpotence-and-finite-spectrum</a> and <a href="http://mathoverflow.net/questions/35207/finite-dimensional-subalgebras-of-c-star-algebras" rel="nofollow">http://mathoverflow.net/questions/35207/finite-dimensional-subalgebras-of-c-star-algebras</a></p>