J. Aust. Math. Soc.
77 (2004), 349-356
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On quasinilpotent operators, II
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Ciprian Foias
Department of Mathematics
Texas A&M University
College Station
TX 77843
USA
foias@math.tamu.edu
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Il Bong Jung
Department of Mathematics
College of Natural Science
Kyungpook National University
Daegu 702-701
Korea
ibjung@knu.ac.kr
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Eungil Ko
Department of Mathematics
Ewha Women's University
Seoul 120-750
Korea
eiko@ewha.ac.kr
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Carl Pearcy
Department of Mathematics
Texas A&M University
College Station
TX 77843
USA
pearcy@math.tamu.edu
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Abstract
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In this paper we continue to modify and expand a
technique due to Enflo for producing nontrivial
hyperinvariant subspaces for quasinilpotent
operators, and thereby obtain such subspaces for
some additional quasinilpotent operators on
Hilbert space. We also obtain a structure theorem
for a certain class of operators.
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