On $p$-hyponormal operators
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- by Eungil Ko PDF
- Proc. Amer. Math. Soc. 128 (2000), 775-780 Request permission
Abstract:
In this paper we show that $p$-hyponormal operators with $0 \notin \sigma (|T|_{r}^{\frac {1}{2}})$ are subscalar. As a corollary, we get that such operators with rich spectra have non-trivial invariant subspaces.References
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Additional Information
- Eungil Ko
- Affiliation: Department of Mathematics, Ewha Women’s University, Seoul 120-750, Korea
- MR Author ID: 353576
- Email: eiko@mm.ewha.ac.kr
- Received by editor(s): April 22, 1998
- Published electronically: October 20, 1999
- Additional Notes: The author is supported by the MOST through National R & D Program (97-N6-01-01-A-5) for Women’s Universities.
- Communicated by: David R. Larson
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 775-780
- MSC (2000): Primary 47B20, 47A15
- DOI: https://doi.org/10.1090/S0002-9939-99-05600-2
- MathSciNet review: 1707152