Quasinilpotent example - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-06-19T21:13:02Zhttp://mathoverflow.net/feeds/question/85135http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/85135/quasinilpotent-exampleQuasinilpotent examplepatrick2012-01-07T16:22:50Z2012-01-07T20:07:34Z
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<p><strong>Possible Duplicate:</strong><br>
<a href="http://mathoverflow.net/questions/84964/quasinilpotent-operator" rel="nofollow">Quasinilpotent operator</a> </p>
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<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#85147Answer by jjcale for Quasinilpotent examplejjcale2012-01-07T20:07:34Z2012-01-07T20:07:34Z<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>