Quasinilpotent example - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-06-19T21:13:02Z http://mathoverflow.net/feeds/question/85135 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/85135/quasinilpotent-example Quasinilpotent example patrick 2012-01-07T16:22:50Z 2012-01-07T20:07:34Z <blockquote> <p><strong>Possible Duplicate:</strong><br> <a href="http://mathoverflow.net/questions/84964/quasinilpotent-operator" rel="nofollow">Quasinilpotent operator</a> </p> </blockquote> <p>Do you know any example of a quasinilpotent operator such that every its power is non-compact?</p> <p>Of course direct sum of nilpotent operators(or Volterra operator) can by good. But I search for same known("classical") example.</p> http://mathoverflow.net/questions/85135/quasinilpotent-example/85147#85147 Answer by jjcale for Quasinilpotent example jjcale 2012-01-07T20:07:34Z 2012-01-07T20:07:34Z <p>In <a href="http://www.jstor.org/pss/2047905" rel="nofollow">http://www.jstor.org/pss/2047905</a> you can find a weighted shift operator that has this property.</p>