On quasinilpotent operators
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- by Il Bong Jung, Eungil Ko and Carl Pearcy PDF
- Proc. Amer. Math. Soc. 131 (2003), 2121-2127 Request permission
Abstract:
In this note we modify a new technique of Enflo for producing hyperinvariant subspaces to obtain a much improved version of his “two sequences” theorem with a somewhat simpler proof. As a corollary we get a proof of the “best” theorem (due to V. Lomonosov) known about hyperinvariant subspaces for quasinilpotent operators that uses neither the Schauder-Tychonoff fixed point theorem nor the more recent techniques of Lomonosov.References
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Additional Information
- Il Bong Jung
- Affiliation: Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea
- Email: ibjung@kyungpook.ac.kr
- Eungil Ko
- Affiliation: Department of Mathematics, Ewha Women’s University, Seoul 120-750, Korea
- MR Author ID: 353576
- Email: eiko@mm.ewha.ac.kr
- Carl Pearcy
- Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
- Email: pearcy@math.tamu.edu
- Received by editor(s): February 6, 2002
- Published electronically: February 5, 2003
- Communicated by: David R. Larson
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2121-2127
- MSC (2000): Primary 47A15
- DOI: https://doi.org/10.1090/S0002-9939-03-06895-3
- MathSciNet review: 1963758