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Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry

2 votes
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362 views

Quasinilpotent example [duplicate]

Possible Duplicate: Quasinilpotent operator Do you know any example of a quasinilpotent operator such that every its power is non-compact? Of course direct sum of nilpotent operators(or Volt …